Best Known (66−53, 66, s)-Nets in Base 256
(66−53, 66, 270)-Net over F256 — Constructive and digital
Digital (13, 66, 270)-net over F256, using
- net from sequence [i] based on digital (13, 269)-sequence over F256, using
(66−53, 66, 513)-Net over F256 — Digital
Digital (13, 66, 513)-net over F256, using
- t-expansion [i] based on digital (8, 66, 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
(66−53, 66, 43373)-Net in Base 256 — Upper bound on s
There is no (13, 66, 43374)-net in base 256, because
- 1 times m-reduction [i] would yield (13, 65, 43374)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 3 432986 245521 676047 750082 636348 345582 864135 349478 560318 429163 930824 802962 555381 994552 799185 629530 760333 686966 058716 019281 687502 209080 488322 474659 032414 678996 > 25665 [i]