Best Known (14, 57, s)-Nets in Base 256
(14, 57, 271)-Net over F256 — Constructive and digital
Digital (14, 57, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(14, 57, 513)-Net over F256 — Digital
Digital (14, 57, 513)-net over F256, using
- t-expansion [i] based on digital (8, 57, 513)-net over F256, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
(14, 57, 89924)-Net in Base 256 — Upper bound on s
There is no (14, 57, 89925)-net in base 256, because
- 1 times m-reduction [i] would yield (14, 56, 89925)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 726 962027 110438 491747 370695 296615 006342 545303 425166 630956 372007 973876 568781 723174 963715 427154 758270 224591 877810 773999 507808 055411 773376 > 25656 [i]