Best Known (58−44, 58, s)-Nets in Base 256
(58−44, 58, 271)-Net over F256 — Constructive and digital
Digital (14, 58, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(58−44, 58, 513)-Net over F256 — Digital
Digital (14, 58, 513)-net over F256, using
- t-expansion [i] based on digital (8, 58, 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
(58−44, 58, 79295)-Net in Base 256 — Upper bound on s
There is no (14, 58, 79296)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 47 634431 011704 644592 181624 964713 934460 770861 107755 224942 129800 291037 379494 326020 590637 427725 633769 747657 386140 388576 939910 115494 577684 066461 > 25658 [i]