Best Known (107, 107+72, s)-Nets in Base 4
(107, 107+72, 130)-Net over F4 — Constructive and digital
Digital (107, 179, 130)-net over F4, using
- t-expansion [i] based on digital (105, 179, 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
(107, 107+72, 261)-Net over F4 — Digital
Digital (107, 179, 261)-net over F4, using
(107, 107+72, 4660)-Net in Base 4 — Upper bound on s
There is no (107, 179, 4661)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 588142 467405 497700 903272 484060 407712 549287 507945 266886 123306 757809 224518 414610 825987 488919 231823 506951 167139 > 4179 [i]