Best Known (114, 214, s)-Nets in Base 4
(114, 214, 130)-Net over F4 — Constructive and digital
Digital (114, 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
(114, 214, 189)-Net over F4 — Digital
Digital (114, 214, 189)-net over F4, using
(114, 214, 2410)-Net in Base 4 — Upper bound on s
There is no (114, 214, 2411)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 704 961883 724632 010647 465897 383915 674614 283652 234328 695213 477095 854462 671606 342485 728005 740131 120609 849706 160775 105337 292982 284100 > 4214 [i]