Best Known (119, 119+104, s)-Nets in Base 4
(119, 119+104, 130)-Net over F4 — Constructive and digital
Digital (119, 223, 130)-net over F4, using
- t-expansion [i] based on digital (105, 223, 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, 119+104, 197)-Net over F4 — Digital
Digital (119, 223, 197)-net over F4, using
(119, 119+104, 2531)-Net in Base 4 — Upper bound on s
There is no (119, 223, 2532)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 182 071121 563792 681821 131846 608035 436923 342450 332424 471958 885102 180561 119123 469715 721618 388286 477725 950363 909369 990386 946209 888317 510000 > 4223 [i]