Best Known (131, 131+102, s)-Nets in Base 4
(131, 131+102, 130)-Net over F4 — Constructive and digital
Digital (131, 233, 130)-net over F4, using
- t-expansion [i] based on digital (105, 233, 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
(131, 131+102, 250)-Net over F4 — Digital
Digital (131, 233, 250)-net over F4, using
(131, 131+102, 3684)-Net in Base 4 — Upper bound on s
There is no (131, 233, 3685)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 190 896563 017783 724040 605652 498227 310550 372535 541781 129455 917883 960797 044408 340478 716344 437343 401495 611211 044146 928722 042177 470259 402876 230448 > 4233 [i]