Best Known (12, 12+48, s)-Nets in Base 256
(12, 12+48, 269)-Net over F256 — Constructive and digital
Digital (12, 60, 269)-net over F256, using
- net from sequence [i] based on digital (12, 268)-sequence over F256, using
(12, 12+48, 513)-Net over F256 — Digital
Digital (12, 60, 513)-net over F256, using
- t-expansion [i] based on digital (8, 60, 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
(12, 12+48, 40299)-Net in Base 256 — Upper bound on s
There is no (12, 60, 40300)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 3 123042 127088 390924 437691 874482 928131 302796 996731 501572 551761 178350 526281 987654 995134 849382 066004 046354 416770 384920 925640 005342 281236 230562 174126 > 25660 [i]