Best Known (119, 119+76, s)-Nets in Base 4
(119, 119+76, 130)-Net over F4 — Constructive and digital
Digital (119, 195, 130)-net over F4, using
- t-expansion [i] based on digital (105, 195, 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
(119, 119+76, 312)-Net over F4 — Digital
Digital (119, 195, 312)-net over F4, using
(119, 119+76, 6123)-Net in Base 4 — Upper bound on s
There is no (119, 195, 6124)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2529 521666 015850 433645 488559 876017 429408 785712 715083 250262 189298 244357 057433 987271 483607 881125 813876 042807 989375 724482 > 4195 [i]