Best Known (118, 118+114, s)-Nets in Base 4
(118, 118+114, 130)-Net over F4 — Constructive and digital
Digital (118, 232, 130)-net over F4, using
- t-expansion [i] based on digital (105, 232, 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
(118, 118+114, 173)-Net over F4 — Digital
Digital (118, 232, 173)-net over F4, using
(118, 118+114, 2030)-Net in Base 4 — Upper bound on s
There is no (118, 232, 2031)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 48 885348 403967 511165 075062 480831 423987 472233 828083 530379 527229 401745 565877 445761 242792 010928 678085 282325 331553 728464 913845 891302 431069 466680 > 4232 [i]