Best Known (204−86, 204, s)-Nets in Base 4
(204−86, 204, 130)-Net over F4 — Constructive and digital
Digital (118, 204, 130)-net over F4, using
- t-expansion [i] based on digital (105, 204, 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
(204−86, 204, 251)-Net over F4 — Digital
Digital (118, 204, 251)-net over F4, using
(204−86, 204, 4007)-Net in Base 4 — Upper bound on s
There is no (118, 204, 4008)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 667 304282 398112 962200 621830 354032 621666 448075 763221 913714 490777 643441 588154 312402 389729 504305 510103 695117 123514 322171 427120 > 4204 [i]