Best Known (13, 89, s)-Nets in Base 25
(13, 89, 126)-Net over F25 — Constructive and digital
Digital (13, 89, 126)-net over F25, using
- t-expansion [i] based on digital (10, 89, 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, 89, 1156)-Net in Base 25 — Upper bound on s
There is no (13, 89, 1157)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 26248 528809 886597 570826 992974 605412 045407 719980 193141 195980 697586 710478 664562 609402 856830 088448 559063 291505 919215 018759 364625 > 2589 [i]