Best Known (23, 109, s)-Nets in Base 25
(23, 109, 148)-Net over F25 — Constructive and digital
Digital (23, 109, 148)-net over F25, using
- t-expansion [i] based on digital (19, 109, 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, 109, 176)-Net over F25 — Digital
Digital (23, 109, 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, 109, 2436)-Net in Base 25 — Upper bound on s
There is no (23, 109, 2437)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 237 797249 043455 456232 320859 864359 847515 369157 377338 166591 477978 339864 428679 306004 093183 449165 855397 209247 680756 750593 919993 843721 642403 863607 475266 578025 > 25109 [i]