Best Known (187−74, 187, s)-Nets in Base 4
(187−74, 187, 130)-Net over F4 — Constructive and digital
Digital (113, 187, 130)-net over F4, using
- t-expansion [i] based on digital (105, 187, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(187−74, 187, 286)-Net over F4 — Digital
Digital (113, 187, 286)-net over F4, using
(187−74, 187, 5360)-Net in Base 4 — Upper bound on s
There is no (113, 187, 5361)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 38664 624347 571623 540418 820555 886670 512792 415454 075358 316867 146533 420964 795420 316004 343135 688209 129690 541508 460128 > 4187 [i]