Best Known (45−36, 45, s)-Nets in Base 256
(45−36, 45, 266)-Net over F256 — Constructive and digital
Digital (9, 45, 266)-net over F256, using
- net from sequence [i] based on digital (9, 265)-sequence over F256, using
(45−36, 45, 513)-Net over F256 — Digital
Digital (9, 45, 513)-net over F256, using
- t-expansion [i] based on digital (8, 45, 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
(45−36, 45, 31050)-Net in Base 256 — Upper bound on s
There is no (9, 45, 31051)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 2 349092 736005 959769 274249 022396 602007 400371 684301 657474 621143 672606 973832 299763 783295 624299 667610 522907 264916 > 25645 [i]