Best Known (23, 66, s)-Nets in Base 256
(23, 66, 516)-Net over F256 — Constructive and digital
Digital (23, 66, 516)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (1, 22, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (1, 44, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 22, 258)-net over F256, using
(23, 66, 578)-Net over F256 — Digital
Digital (23, 66, 578)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (1, 22, 289)-net over F256, using
- net from sequence [i] based on digital (1, 288)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
- net from sequence [i] based on digital (1, 288)-sequence over F256, using
- digital (1, 44, 289)-net over F256, using
- net from sequence [i] based on digital (1, 288)-sequence over F256 (see above)
- digital (1, 22, 289)-net over F256, using
(23, 66, 968331)-Net in Base 256 — Upper bound on s
There is no (23, 66, 968332)-net in base 256, because
- 1 times m-reduction [i] would yield (23, 65, 968332)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 3 432454 595904 680950 894862 454948 359997 005102 161847 719671 966019 633090 517858 408964 244583 502418 971698 434028 986932 694715 309124 154625 774084 644309 908181 702281 426736 > 25665 [i]