Best Known (14, 59, s)-Nets in Base 128
(14, 59, 288)-Net over F128 — Constructive and digital
Digital (14, 59, 288)-net over F128, using
- t-expansion [i] based on digital (9, 59, 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, 59, 353)-Net over F128 — Digital
Digital (14, 59, 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, 59, 25600)-Net in Base 128 — Upper bound on s
There is no (14, 59, 25601)-net in base 128, because
- 1 times m-reduction [i] would yield (14, 58, 25601)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 165 405480 849239 550068 653035 941929 847354 320746 087355 573099 699210 678038 702542 723847 562164 743297 466826 567114 756101 829981 284864 > 12858 [i]