Best Known (224−108, 224, s)-Nets in Base 4
(224−108, 224, 130)-Net over F4 — Constructive and digital
Digital (116, 224, 130)-net over F4, using
- t-expansion [i] based on digital (105, 224, 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
(224−108, 224, 178)-Net over F4 — Digital
Digital (116, 224, 178)-net over F4, using
(224−108, 224, 2152)-Net in Base 4 — Upper bound on s
There is no (116, 224, 2153)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 727 360770 780596 077653 016211 386336 133240 737704 430009 393141 787231 030271 703476 743945 116576 897731 326835 972385 286763 128413 003002 976294 128400 > 4224 [i]