Best Known (13, 13+30, s)-Nets in Base 25
(13, 13+30, 126)-Net over F25 — Constructive and digital
Digital (13, 43, 126)-net over F25, using
- t-expansion [i] based on digital (10, 43, 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
(13, 13+30, 2714)-Net in Base 25 — Upper bound on s
There is no (13, 43, 2715)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1 292630 010280 949610 524138 843004 363965 188275 020833 335527 169145 > 2543 [i]