Best Known (134, 246, s)-Nets in Base 4
(134, 246, 130)-Net over F4 — Constructive and digital
Digital (134, 246, 130)-net over F4, using
- t-expansion [i] based on digital (105, 246, 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
(134, 246, 232)-Net over F4 — Digital
Digital (134, 246, 232)-net over F4, using
(134, 246, 3147)-Net in Base 4 — Upper bound on s
There is no (134, 246, 3148)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12853 387621 041280 111828 300402 733546 692833 906215 479684 119571 504130 684428 802669 936428 516846 795496 286829 156366 396028 976980 911894 227298 641218 557075 382500 > 4246 [i]