Best Known (66−49, 66, s)-Nets in Base 256
(66−49, 66, 274)-Net over F256 — Constructive and digital
Digital (17, 66, 274)-net over F256, using
- net from sequence [i] based on digital (17, 273)-sequence over F256, using
(66−49, 66, 513)-Net over F256 — Digital
Digital (17, 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
(66−49, 66, 127967)-Net in Base 256 — Upper bound on s
There is no (17, 66, 127968)-net in base 256, because
- 1 times m-reduction [i] would yield (17, 65, 127968)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 3 432702 197190 144854 674583 160982 005515 447528 311944 796612 097325 517093 920285 970538 915596 043815 284604 827499 992406 324373 625118 878553 797007 632577 025428 052714 202811 > 25665 [i]