Best Known (219−92, 219, s)-Nets in Base 4
(219−92, 219, 130)-Net over F4 — Constructive and digital
Digital (127, 219, 130)-net over F4, using
- t-expansion [i] based on digital (105, 219, 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
(219−92, 219, 271)-Net over F4 — Digital
Digital (127, 219, 271)-net over F4, using
(219−92, 219, 4372)-Net in Base 4 — Upper bound on s
There is no (127, 219, 4373)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 715150 700562 572154 574461 805379 113429 643529 054101 281229 640644 130255 386461 399572 723206 367063 584024 581907 150505 334128 283924 947002 895040 > 4219 [i]