Best Known (23, 23+6, s)-Nets in Base 64
(23, 23+6, 5592448)-Net over F64 — Constructive and digital
Digital (23, 29, 5592448)-net over F64, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 87382)-net over F64, using
- s-reduction based on digital (0, 0, s)-net over F64 with arbitrarily large s, using
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 0, 87382)-net over F64 (see above)
- digital (0, 1, 87382)-net over F64, using
- s-reduction based on digital (0, 1, s)-net over F64 with arbitrarily large s, using
- digital (0, 1, 87382)-net over F64 (see above)
- digital (0, 1, 87382)-net over F64 (see above)
- digital (2, 4, 87382)-net over F64, using
- s-reduction based on digital (2, 4, 266305)-net over F64, using
- digital (3, 6, 87382)-net over F64, using
- s-reduction based on digital (3, 6, 270402)-net over F64, using
- net defined by OOA [i] based on linear OOA(646, 270402, F64, 3, 3) (dual of [(270402, 3), 811200, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(646, 270402, F64, 2, 3) (dual of [(270402, 2), 540798, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(646, 270402, F64, 3, 3) (dual of [(270402, 3), 811200, 4]-NRT-code), using
- s-reduction based on digital (3, 6, 270402)-net over F64, using
- digital (10, 16, 87382)-net over F64, using
- net defined by OOA [i] based on linear OOA(6416, 87382, F64, 6, 6) (dual of [(87382, 6), 524276, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(6416, 262146, F64, 6) (dual of [262146, 262130, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(6416, 262147, F64, 6) (dual of [262147, 262131, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(6413, 262144, F64, 5) (dual of [262144, 262131, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) with arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(6416, 262147, F64, 6) (dual of [262147, 262131, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(6416, 262146, F64, 6) (dual of [262146, 262130, 7]-code), using
- net defined by OOA [i] based on linear OOA(6416, 87382, F64, 6, 6) (dual of [(87382, 6), 524276, 7]-NRT-code), using
- digital (0, 0, 87382)-net over F64, using
(23, 23+6, 5592576)-Net in Base 64 — Constructive
(23, 29, 5592576)-net in base 64, using
- 641 times duplication [i] based on (22, 28, 5592576)-net in base 64, using
- base change [i] based on digital (15, 21, 5592576)-net over F256, using
- net defined by OOA [i] based on linear OOA(25621, 5592576, F256, 6, 6) (dual of [(5592576, 6), 33555435, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(25621, 5592576, F256, 5, 6) (dual of [(5592576, 5), 27962859, 7]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2560, s, F256, 5, 0) with arbitrarily large s, using
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
- linear OOA(2561, 21846, F256, 5, 1) (dual of [(21846, 5), 109229, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2561, s, F256, 5, 1) with arbitrarily large s, using
- appending 4 arbitrary columns [i] based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(2561, s, F256, 5, 1) with arbitrarily large s, using
- linear OOA(2561, 21846, F256, 5, 1) (dual of [(21846, 5), 109229, 2]-NRT-code) (see above)
- linear OOA(2561, 21846, F256, 5, 1) (dual of [(21846, 5), 109229, 2]-NRT-code) (see above)
- linear OOA(2563, 21846, F256, 5, 2) (dual of [(21846, 5), 109227, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 65793, F256, 5, 2) (dual of [(65793, 5), 328962, 3]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(2563, 65793, F256, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
- appending kth column [i] based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- Hamming code H(3,256) [i]
- appending kth column [i] based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- appending 3 arbitrary columns [i] based on linear OOA(2563, 65793, F256, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 65793, F256, 5, 2) (dual of [(65793, 5), 328962, 3]-NRT-code), using
- linear OOA(2564, 21846, F256, 5, 3) (dual of [(21846, 5), 109226, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2564, 65537, F256, 5, 3) (dual of [(65537, 5), 327681, 4]-NRT-code), using
- appending 2 arbitrary columns [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
- appending 2 arbitrary columns [i] based on linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2564, 65537, F256, 5, 3) (dual of [(65537, 5), 327681, 4]-NRT-code), using
- linear OOA(25611, 21846, F256, 5, 6) (dual of [(21846, 5), 109219, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(25611, 65538, F256, 6) (dual of [65538, 65527, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2569, 65536, F256, 5) (dual of [65536, 65527, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) with arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- OA 3-folding and stacking [i] based on linear OA(25611, 65538, F256, 6) (dual of [65538, 65527, 7]-code), using
- linear OOA(2560, 21846, F256, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(25621, 5592576, F256, 5, 6) (dual of [(5592576, 5), 27962859, 7]-NRT-code), using
- net defined by OOA [i] based on linear OOA(25621, 5592576, F256, 6, 6) (dual of [(5592576, 6), 33555435, 7]-NRT-code), using
- base change [i] based on digital (15, 21, 5592576)-net over F256, using
(23, 23+6, large)-Net over F64 — Digital
Digital (23, 29, large)-net over F64, using
- t-expansion [i] based on digital (21, 29, large)-net over F64, using
- embedding of OOA with Gilbert–VarÅ¡amov bound [i] based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- embedding of OOA with Gilbert–VarÅ¡amov bound [i] based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
(23, 23+6, large)-Net in Base 64 — Upper bound on s
There is no (23, 29, large)-net in base 64, because
- 4 times m-reduction [i] would yield (23, 25, large)-net in base 64, but