Best Known (78−52, 78, s)-Nets in Base 128
(78−52, 78, 288)-Net over F128 — Constructive and digital
Digital (26, 78, 288)-net over F128, using
- t-expansion [i] based on digital (9, 78, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
(78−52, 78, 513)-Net over F128 — Digital
Digital (26, 78, 513)-net over F128, using
- t-expansion [i] based on digital (24, 78, 513)-net over F128, using
- net from sequence [i] based on digital (24, 512)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 24 and N(F) ≥ 513, using
- net from sequence [i] based on digital (24, 512)-sequence over F128, using
(78−52, 78, 174215)-Net in Base 128 — Upper bound on s
There is no (26, 78, 174216)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 230 351005 917765 030821 648267 211785 493570 459473 971366 220612 562027 855272 335777 081599 103231 646195 944224 518504 209961 406034 604924 546508 365094 842845 740603 430303 387221 342512 > 12878 [i]