Best Known (93−70, 93, s)-Nets in Base 25
(93−70, 93, 148)-Net over F25 — Constructive and digital
Digital (23, 93, 148)-net over F25, using
- t-expansion [i] based on digital (19, 93, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(93−70, 93, 176)-Net over F25 — Digital
Digital (23, 93, 176)-net over F25, using
- net from sequence [i] based on digital (23, 175)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 23 and N(F) ≥ 176, using
(93−70, 93, 2984)-Net in Base 25 — Upper bound on s
There is no (23, 93, 2985)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 10227 934270 944384 423296 140535 130035 362007 566865 780319 520692 576375 896076 715073 413651 943032 565528 188716 556124 707126 964482 436949 891145 > 2593 [i]