Best Known (90−76, 90, s)-Nets in Base 25
(90−76, 90, 126)-Net over F25 — Constructive and digital
Digital (14, 90, 126)-net over F25, using
- t-expansion [i] based on digital (10, 90, 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
(90−76, 90, 130)-Net over F25 — Digital
Digital (14, 90, 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
(90−76, 90, 1260)-Net in Base 25 — Upper bound on s
There is no (14, 90, 1261)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 655448 797508 757266 651868 302441 042838 545600 676407 433162 565267 224584 802319 059238 101811 855420 107225 929075 297474 674063 796762 100625 > 2590 [i]