Best Known (119, 119+108, s)-Nets in Base 4
(119, 119+108, 130)-Net over F4 — Constructive and digital
Digital (119, 227, 130)-net over F4, using
- t-expansion [i] based on digital (105, 227, 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+108, 188)-Net over F4 — Digital
Digital (119, 227, 188)-net over F4, using
(119, 119+108, 2328)-Net in Base 4 — Upper bound on s
There is no (119, 227, 2329)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 46679 507610 235473 000306 348251 250142 172112 116704 736954 188237 635342 858125 601594 208327 951963 118102 198469 550343 639115 241753 239108 572014 679200 > 4227 [i]