Best Known (108, 108+106, s)-Nets in Base 4
(108, 108+106, 130)-Net over F4 — Constructive and digital
Digital (108, 214, 130)-net over F4, using
- t-expansion [i] based on digital (105, 214, 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
(108, 108+106, 157)-Net over F4 — Digital
Digital (108, 214, 157)-net over F4, using
(108, 108+106, 1808)-Net in Base 4 — Upper bound on s
There is no (108, 214, 1809)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 699 723923 875688 203221 535207 732105 222648 435373 436002 438732 199678 901535 920077 705026 328087 823331 323156 702110 315984 621069 499158 524416 > 4214 [i]