Best Known (114, 114+94, s)-Nets in Base 4
(114, 114+94, 130)-Net over F4 — Constructive and digital
Digital (114, 208, 130)-net over F4, using
- t-expansion [i] based on digital (105, 208, 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
(114, 114+94, 204)-Net over F4 — Digital
Digital (114, 208, 204)-net over F4, using
(114, 114+94, 2789)-Net in Base 4 — Upper bound on s
There is no (114, 208, 2790)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 171761 151869 489506 039669 419908 335767 602866 289933 079484 707154 412371 900453 744096 099862 261964 798979 210162 087861 099525 388452 118752 > 4208 [i]