Best Known (128, 226, s)-Nets in Base 4
(128, 226, 130)-Net over F4 — Constructive and digital
Digital (128, 226, 130)-net over F4, using
- t-expansion [i] based on digital (105, 226, 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
(128, 226, 251)-Net over F4 — Digital
Digital (128, 226, 251)-net over F4, using
(128, 226, 3770)-Net in Base 4 — Upper bound on s
There is no (128, 226, 3771)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11660 019848 322269 697851 303352 872738 351327 221795 993218 267609 446038 718432 129577 490849 609531 848307 442657 763014 194720 315533 659688 333340 769854 > 4226 [i]