Best Known (129, 239, s)-Nets in Base 4
(129, 239, 130)-Net over F4 — Constructive and digital
Digital (129, 239, 130)-net over F4, using
- t-expansion [i] based on digital (105, 239, 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
(129, 239, 219)-Net over F4 — Digital
Digital (129, 239, 219)-net over F4, using
(129, 239, 2894)-Net in Base 4 — Upper bound on s
There is no (129, 239, 2895)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 790033 712095 261048 054882 935894 614459 405132 685429 831708 680436 502079 244497 638659 494411 077523 456111 422277 376881 041864 323702 297238 480401 523330 264048 > 4239 [i]