Best Known (49, 49+10, s)-Nets in Base 128
(49, 49+10, 7032518)-Net over F128 — Constructive and digital
Digital (49, 59, 7032518)-net over F128, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 49156)-net over F128, using
- s-reduction based on digital (0, 0, s)-net over F128 with arbitrarily large s, using
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 0, 49156)-net over F128 (see above)
- digital (0, 1, 49156)-net over F128, using
- s-reduction based on digital (0, 1, s)-net over F128 with arbitrarily large s, using
- digital (0, 1, 49156)-net over F128 (see above)
- digital (0, 1, 49156)-net over F128 (see above)
- digital (0, 1, 49156)-net over F128 (see above)
- digital (0, 1, 49156)-net over F128 (see above)
- digital (2, 4, 49156)-net over F128, using
- s-reduction based on digital (2, 4, 2113665)-net over F128, using
- digital (2, 4, 49156)-net over F128 (see above)
- digital (2, 5, 49156)-net over F128, using
- net defined by OOA [i] based on linear OOA(1285, 49156, F128, 3, 3) (dual of [(49156, 3), 147463, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(1285, 49156, F128, 2, 3) (dual of [(49156, 2), 98307, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(1285, 49156, F128, 3, 3) (dual of [(49156, 3), 147463, 4]-NRT-code), using
- digital (8, 13, 419431)-net over F128, using
- s-reduction based on digital (8, 13, 1048577)-net over F128, using
- net defined by OOA [i] based on linear OOA(12813, 1048577, F128, 5, 5) (dual of [(1048577, 5), 5242872, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(12813, 1048577, F128, 4, 5) (dual of [(1048577, 4), 4194295, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(12813, 2097155, F128, 5) (dual of [2097155, 2097142, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(12813, 2097152, F128, 5) (dual of [2097152, 2097139, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(12810, 2097152, F128, 4) (dual of [2097152, 2097142, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) with arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OA(12813, 2097155, F128, 5) (dual of [2097155, 2097142, 6]-code), using
- appending kth column [i] based on linear OOA(12813, 1048577, F128, 4, 5) (dual of [(1048577, 4), 4194295, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(12813, 1048577, F128, 5, 5) (dual of [(1048577, 5), 5242872, 6]-NRT-code), using
- s-reduction based on digital (8, 13, 1048577)-net over F128, using
- digital (18, 28, 419431)-net over F128, using
- net defined by OOA [i] based on linear OOA(12828, 419431, F128, 10, 10) (dual of [(419431, 10), 4194282, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(12828, 2097155, F128, 10) (dual of [2097155, 2097127, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12825, 2097152, F128, 9) (dual of [2097152, 2097127, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code) (see above)
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- OA 5-folding and stacking [i] based on linear OA(12828, 2097155, F128, 10) (dual of [2097155, 2097127, 11]-code), using
- net defined by OOA [i] based on linear OOA(12828, 419431, F128, 10, 10) (dual of [(419431, 10), 4194282, 11]-NRT-code), using
- digital (0, 0, 49156)-net over F128, using
(49, 49+10, large)-Net in Base 128 — Constructive
(49, 59, large)-net in base 128, using
- 1283 times duplication [i] based on (46, 56, large)-net in base 128, using
- base change [i] based on digital (39, 49, large)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 32640)-net over F256, using
- s-reduction based on digital (0, 0, s)-net over F256 with arbitrarily large s, using
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 0, 32640)-net over F256 (see above)
- digital (0, 1, 32640)-net over F256, using
- s-reduction based on digital (0, 1, s)-net over F256 with arbitrarily large s, using
- digital (0, 1, 32640)-net over F256 (see above)
- digital (0, 1, 32640)-net over F256 (see above)
- digital (0, 1, 32640)-net over F256 (see above)
- digital (0, 1, 32640)-net over F256 (see above)
- digital (1, 3, 32640)-net over F256, using
- s-reduction based on digital (1, 3, 65793)-net over F256, using
- digital (1, 3, 32640)-net over F256 (see above)
- digital (1, 4, 32640)-net over F256, using
- s-reduction based on digital (1, 4, 65537)-net over F256, using
- net defined by OOA [i] based on linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(2564, 65537, F256, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- s-reduction based on digital (1, 4, 65537)-net over F256, using
- digital (2, 7, 32640)-net over F256, using
- net defined by OOA [i] based on linear OOA(2567, 32640, F256, 5, 5) (dual of [(32640, 5), 163193, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- net defined by OOA [i] based on linear OOA(2567, 32640, F256, 5, 5) (dual of [(32640, 5), 163193, 6]-NRT-code), using
- digital (17, 27, 65792)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 257)-net over F256, using
- s-reduction based on digital (0, 0, s)-net over F256 with arbitrarily large s (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 0, 257)-net over F256 (see above)
- digital (0, 1, 257)-net over F256, using
- s-reduction based on digital (0, 1, s)-net over F256 with arbitrarily large s (see above)
- digital (0, 1, 257)-net over F256 (see above)
- digital (0, 1, 257)-net over F256 (see above)
- digital (0, 1, 257)-net over F256 (see above)
- digital (0, 1, 257)-net over F256 (see above)
- digital (0, 2, 257)-net over F256, using
- digital (0, 2, 257)-net over F256 (see above)
- digital (0, 3, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- digital (0, 5, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 10, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 0, 257)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 32640)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- base change [i] based on digital (39, 49, large)-net over F256, using
(49, 49+10, large)-Net over F128 — Digital
Digital (49, 59, large)-net over F128, using
- t-expansion [i] based on digital (48, 59, large)-net over F128, using
- 7 times m-reduction [i] based on digital (48, 66, large)-net over F128, using
(49, 49+10, large)-Net in Base 128 — Upper bound on s
There is no (49, 59, large)-net in base 128, because
- 8 times m-reduction [i] would yield (49, 51, large)-net in base 128, but