Best Known (14, 108, s)-Nets in Base 25
(14, 108, 126)-Net over F25 — Constructive and digital
Digital (14, 108, 126)-net over F25, using
- t-expansion [i] based on digital (10, 108, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(14, 108, 130)-Net over F25 — Digital
Digital (14, 108, 130)-net over F25, using
- net from sequence [i] based on digital (14, 129)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 14 and N(F) ≥ 130, using
(14, 108, 1223)-Net in Base 25 — Upper bound on s
There is no (14, 108, 1224)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 9 844740 343153 184638 532840 065018 080597 626600 054740 649567 956220 413520 226896 961128 671007 369896 281916 311900 238774 234993 531760 015140 869136 685995 239170 310721 > 25108 [i]