Best Known (260−122, 260, s)-Nets in Base 4
(260−122, 260, 130)-Net over F4 — Constructive and digital
Digital (138, 260, 130)-net over F4, using
- t-expansion [i] based on digital (105, 260, 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
(260−122, 260, 222)-Net over F4 — Digital
Digital (138, 260, 222)-net over F4, using
(260−122, 260, 2842)-Net in Base 4 — Upper bound on s
There is no (138, 260, 2843)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 476660 903005 439006 075199 308925 915421 424832 676650 913486 649685 288682 634205 087616 409000 351971 376167 222675 754720 277339 311522 535603 748812 047176 111209 552495 952000 > 4260 [i]