Best Known (2, 2+35, s)-Nets in Base 25
(2, 2+35, 28)-Net over F25 — Constructive and digital
Digital (2, 37, 28)-net over F25, using
- net from sequence [i] based on digital (2, 27)-sequence over F25, using
(2, 2+35, 46)-Net over F25 — Digital
Digital (2, 37, 46)-net over F25, using
- net from sequence [i] based on digital (2, 45)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 2 and N(F) ≥ 46, using
(2, 2+35, 201)-Net in Base 25 — Upper bound on s
There is no (2, 37, 202)-net in base 25, because
- extracting embedded orthogonal array [i] would yield OA(2537, 202, S25, 35), but
- the linear programming bound shows that M ≥ 816 177001 816188 619213 099028 626423 603327 566524 967551 231384 277343 750000 / 150115 147411 687489 > 2537 [i]