Best Known (61, 95, s)-Nets in Base 32
(61, 95, 360)-Net over F32 — Constructive and digital
Digital (61, 95, 360)-net over F32, using
- 1 times m-reduction [i] based on digital (61, 96, 360)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (4, 12, 66)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (0, 4, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 0 and N(F) ≥ 33, using
- the rational function field F32(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- digital (0, 8, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 4, 33)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (7, 18, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- digital (7, 24, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32 (see above)
- digital (7, 42, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32 (see above)
- digital (4, 12, 66)-net over F32, using
- generalized (u, u+v)-construction [i] based on
(61, 95, 963)-Net in Base 32 — Constructive
(61, 95, 963)-net in base 32, using
- 321 times duplication [i] based on (60, 94, 963)-net in base 32, using
- net defined by OOA [i] based on OOA(3294, 963, S32, 34, 34), using
- OA 17-folding and stacking [i] based on OA(3294, 16371, S32, 34), using
- discarding factors based on OA(3294, 16386, S32, 34), using
- discarding parts of the base [i] based on linear OA(12867, 16386, F128, 34) (dual of [16386, 16319, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(12867, 16384, F128, 34) (dual of [16384, 16317, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(12865, 16384, F128, 33) (dual of [16384, 16319, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 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(33) ⊂ Ce(32) [i] based on
- discarding parts of the base [i] based on linear OA(12867, 16386, F128, 34) (dual of [16386, 16319, 35]-code), using
- discarding factors based on OA(3294, 16386, S32, 34), using
- OA 17-folding and stacking [i] based on OA(3294, 16371, S32, 34), using
- net defined by OOA [i] based on OOA(3294, 963, S32, 34, 34), using
(61, 95, 9158)-Net over F32 — Digital
Digital (61, 95, 9158)-net over F32, using
(61, 95, large)-Net in Base 32 — Upper bound on s
There is no (61, 95, large)-net in base 32, because
- 32 times m-reduction [i] would yield (61, 63, large)-net in base 32, but