Best Known (66−52, 66, s)-Nets in Base 25
(66−52, 66, 126)-Net over F25 — Constructive and digital
Digital (14, 66, 126)-net over F25, using
- t-expansion [i] based on digital (10, 66, 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
(66−52, 66, 130)-Net over F25 — Digital
Digital (14, 66, 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
(66−52, 66, 1541)-Net in Base 25 — Upper bound on s
There is no (14, 66, 1542)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 185 738473 589792 564306 070320 412901 984097 714377 447346 466220 784715 867754 237497 361409 392567 200481 > 2566 [i]