Best Known (43, 56, s)-Nets in Base 25
(43, 56, 65131)-Net over F25 — Constructive and digital
Digital (43, 56, 65131)-net over F25, using
- (u, u+v)-construction [i] based on
- digital (1, 7, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- digital (36, 49, 65104)-net over F25, using
- net defined by OOA [i] based on linear OOA(2549, 65104, F25, 13, 13) (dual of [(65104, 13), 846303, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2549, 390625, F25, 13) (dual of [390625, 390576, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 6-folding and stacking with additional row [i] based on linear OA(2549, 390625, F25, 13) (dual of [390625, 390576, 14]-code), using
- net defined by OOA [i] based on linear OOA(2549, 65104, F25, 13, 13) (dual of [(65104, 13), 846303, 14]-NRT-code), using
- digital (1, 7, 27)-net over F25, using
(43, 56, 735993)-Net over F25 — Digital
Digital (43, 56, 735993)-net over F25, using
(43, 56, large)-Net in Base 25 — Upper bound on s
There is no (43, 56, large)-net in base 25, because
- 11 times m-reduction [i] would yield (43, 45, large)-net in base 25, but