Best Known (235−114, 235, s)-Nets in Base 4
(235−114, 235, 130)-Net over F4 — Constructive and digital
Digital (121, 235, 130)-net over F4, using
- t-expansion [i] based on digital (105, 235, 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
(235−114, 235, 182)-Net over F4 — Digital
Digital (121, 235, 182)-net over F4, using
(235−114, 235, 2187)-Net in Base 4 — Upper bound on s
There is no (121, 235, 2188)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3110 621427 691495 868465 880834 566156 394961 916788 068755 655508 574974 047257 358402 408302 113337 455515 363036 966436 676022 502938 491284 065118 084688 810200 > 4235 [i]