Best Known (131, 257, s)-Nets in Base 4
(131, 257, 130)-Net over F4 — Constructive and digital
Digital (131, 257, 130)-net over F4, using
- t-expansion [i] based on digital (105, 257, 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, 257, 191)-Net over F4 — Digital
Digital (131, 257, 191)-net over F4, using
(131, 257, 2263)-Net in Base 4 — Upper bound on s
There is no (131, 257, 2264)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 54290 280911 848363 830352 708465 741639 143693 033983 652672 455239 265531 481574 626282 686540 721238 523373 167165 015910 022839 700201 167060 495461 795378 185165 409294 721016 > 4257 [i]