Best Known (119, 119+78, s)-Nets in Base 4
(119, 119+78, 130)-Net over F4 — Constructive and digital
Digital (119, 197, 130)-net over F4, using
- t-expansion [i] based on digital (105, 197, 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+78, 298)-Net over F4 — Digital
Digital (119, 197, 298)-net over F4, using
(119, 119+78, 5610)-Net in Base 4 — Upper bound on s
There is no (119, 197, 5611)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 40441 531130 405594 784701 919244 188488 139810 751193 463629 691471 451095 046181 154169 807844 541858 596134 782544 526748 483946 473568 > 4197 [i]