Best Known (63−50, 63, s)-Nets in Base 128
(63−50, 63, 288)-Net over F128 — Constructive and digital
Digital (13, 63, 288)-net over F128, using
- t-expansion [i] based on digital (9, 63, 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
(63−50, 63, 321)-Net over F128 — Digital
Digital (13, 63, 321)-net over F128, using
- t-expansion [i] based on digital (12, 63, 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
- net from sequence [i] based on digital (12, 320)-sequence over F128, using
(63−50, 63, 16355)-Net in Base 128 — Upper bound on s
There is no (13, 63, 16356)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 5 681554 538014 729640 897416 504725 732033 601177 265212 209949 742534 667096 297843 373051 636153 826903 529002 051019 173449 397070 274599 493172 499796 > 12863 [i]