Best Known (119, 119+112, s)-Nets in Base 4
(119, 119+112, 130)-Net over F4 — Constructive and digital
Digital (119, 231, 130)-net over F4, using
- t-expansion [i] based on digital (105, 231, 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+112, 180)-Net over F4 — Digital
Digital (119, 231, 180)-net over F4, using
(119, 119+112, 2157)-Net in Base 4 — Upper bound on s
There is no (119, 231, 2158)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12 149941 078246 428519 587963 891786 569225 907920 913689 930665 709389 667675 899484 049139 749487 602484 302904 377392 995196 445582 774227 977637 500517 009900 > 4231 [i]