Best Known (117, 195, s)-Nets in Base 4
(117, 195, 130)-Net over F4 — Constructive and digital
Digital (117, 195, 130)-net over F4, using
- t-expansion [i] based on digital (105, 195, 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
(117, 195, 286)-Net over F4 — Digital
Digital (117, 195, 286)-net over F4, using
(117, 195, 5223)-Net in Base 4 — Upper bound on s
There is no (117, 195, 5224)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2531 994716 118842 604787 350141 715451 765067 390778 609149 662300 860438 581652 962283 512786 712670 705426 903721 739724 662624 720417 > 4195 [i]