Best Known (62−50, 62, s)-Nets in Base 128
(62−50, 62, 288)-Net over F128 — Constructive and digital
Digital (12, 62, 288)-net over F128, using
- t-expansion [i] based on digital (9, 62, 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
(62−50, 62, 321)-Net over F128 — Digital
Digital (12, 62, 321)-net over F128, using
- net from sequence [i] based on digital (12, 320)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 12 and N(F) ≥ 321, using
(62−50, 62, 13468)-Net in Base 128 — Upper bound on s
There is no (12, 62, 13469)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 44428 014586 032297 068444 862263 148501 316637 971189 470963 258412 271660 038851 344208 863848 049175 506228 781764 186670 259829 082699 290898 693204 > 12862 [i]