Best Known (119, 119+84, s)-Nets in Base 4
(119, 119+84, 130)-Net over F4 — Constructive and digital
Digital (119, 203, 130)-net over F4, using
- t-expansion [i] based on digital (105, 203, 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+84, 265)-Net over F4 — Digital
Digital (119, 203, 265)-net over F4, using
(119, 119+84, 4438)-Net in Base 4 — Upper bound on s
There is no (119, 203, 4439)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 165 269608 617694 878497 703702 944023 950485 542391 061741 396035 811458 645370 733406 028311 296663 377895 141838 886053 607140 226205 387300 > 4203 [i]