Best Known (221−104, 221, s)-Nets in Base 4
(221−104, 221, 130)-Net over F4 — Constructive and digital
Digital (117, 221, 130)-net over F4, using
- t-expansion [i] based on digital (105, 221, 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
(221−104, 221, 190)-Net over F4 — Digital
Digital (117, 221, 190)-net over F4, using
(221−104, 221, 2398)-Net in Base 4 — Upper bound on s
There is no (117, 221, 2399)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11 541323 537159 488277 523562 928003 112061 026983 277547 343532 390791 540390 913182 894963 702205 538748 969156 286929 483668 056759 742524 212163 071470 > 4221 [i]