Best Known (15, 67, s)-Nets in Base 128
(15, 67, 288)-Net over F128 — Constructive and digital
Digital (15, 67, 288)-net over F128, using
- t-expansion [i] based on digital (9, 67, 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
(15, 67, 386)-Net over F128 — Digital
Digital (15, 67, 386)-net over F128, using
- net from sequence [i] based on digital (15, 385)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
(15, 67, 22354)-Net in Base 128 — Upper bound on s
There is no (15, 67, 22355)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 1525 576432 078899 910014 208305 778083 017951 823021 065484 480193 582097 526590 546431 341500 939239 000761 408590 076500 123266 800863 387137 302372 859291 640936 > 12867 [i]