Best Known (23, 23+72, s)-Nets in Base 25
(23, 23+72, 148)-Net over F25 — Constructive and digital
Digital (23, 95, 148)-net over F25, using
- t-expansion [i] based on digital (19, 95, 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
(23, 23+72, 176)-Net over F25 — Digital
Digital (23, 95, 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
(23, 23+72, 2888)-Net in Base 25 — Upper bound on s
There is no (23, 95, 2889)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 6 402033 276034 545448 404451 674801 025978 234155 892384 359206 278697 590780 907241 184246 587014 383760 053120 419916 611987 686897 503376 385465 022945 > 2595 [i]