Best Known (14, 14+35, s)-Nets in Base 128
(14, 14+35, 288)-Net over F128 — Constructive and digital
Digital (14, 49, 288)-net over F128, using
- t-expansion [i] based on digital (9, 49, 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
(14, 14+35, 353)-Net over F128 — Digital
Digital (14, 49, 353)-net over F128, using
- net from sequence [i] based on digital (14, 352)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 14 and N(F) ≥ 353, using
(14, 14+35, 50331)-Net in Base 128 — Upper bound on s
There is no (14, 49, 50332)-net in base 128, because
- 1 times m-reduction [i] would yield (14, 48, 50332)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 140003 510540 895093 312642 812855 610492 976114 520701 508117 913287 998788 067401 063085 666715 716020 901375 350571 > 12848 [i]