Best Known (128, 230, s)-Nets in Base 4
(128, 230, 130)-Net over F4 — Constructive and digital
Digital (128, 230, 130)-net over F4, using
- t-expansion [i] based on digital (105, 230, 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, 230, 237)-Net over F4 — Digital
Digital (128, 230, 237)-net over F4, using
(128, 230, 3393)-Net in Base 4 — Upper bound on s
There is no (128, 230, 3394)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 019894 204524 724495 291895 672289 462801 014967 917115 955145 208975 279555 866051 414494 835849 865644 852127 347531 674456 023310 859656 707129 909788 417248 > 4230 [i]