Best Known (114, 114+88, s)-Nets in Base 4
(114, 114+88, 130)-Net over F4 — Constructive and digital
Digital (114, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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+88, 224)-Net over F4 — Digital
Digital (114, 202, 224)-net over F4, using
(114, 114+88, 3304)-Net in Base 4 — Upper bound on s
There is no (114, 202, 3305)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 41 629503 513953 508304 387394 736249 336328 533073 010614 179743 662921 206708 941752 930529 048996 293639 257535 078102 851041 067222 230800 > 4202 [i]