Best Known (119, 229, s)-Nets in Base 4
(119, 229, 130)-Net over F4 — Constructive and digital
Digital (119, 229, 130)-net over F4, using
- t-expansion [i] based on digital (105, 229, 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, 229, 184)-Net over F4 — Digital
Digital (119, 229, 184)-net over F4, using
(119, 229, 2239)-Net in Base 4 — Upper bound on s
There is no (119, 229, 2240)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 752759 748737 553238 908804 626367 223813 479917 222771 876190 653085 851784 615542 151364 015885 348708 617909 859934 029773 489856 490910 054920 599453 679875 > 4229 [i]