Best Known (94, 119, s)-Nets in Base 8
(94, 119, 2744)-Net over F8 — Constructive and digital
Digital (94, 119, 2744)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (1, 13, 14)-net over F8, using
- net from sequence [i] based on digital (1, 13)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- net from sequence [i] based on digital (1, 13)-sequence over F8, using
- digital (81, 106, 2730)-net over F8, using
- net defined by OOA [i] based on linear OOA(8106, 2730, F8, 25, 25) (dual of [(2730, 25), 68144, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8106, 32761, F8, 25) (dual of [32761, 32655, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8106, 32761, F8, 25) (dual of [32761, 32655, 26]-code), using
- net defined by OOA [i] based on linear OOA(8106, 2730, F8, 25, 25) (dual of [(2730, 25), 68144, 26]-NRT-code), using
- digital (1, 13, 14)-net over F8, using
(94, 119, 42093)-Net over F8 — Digital
Digital (94, 119, 42093)-net over F8, using
(94, 119, large)-Net in Base 8 — Upper bound on s
There is no (94, 119, large)-net in base 8, because
- 23 times m-reduction [i] would yield (94, 96, large)-net in base 8, but