Best Known (46−34, 46, s)-Nets in Base 128
(46−34, 46, 288)-Net over F128 — Constructive and digital
Digital (12, 46, 288)-net over F128, using
- t-expansion [i] based on digital (9, 46, 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
(46−34, 46, 321)-Net over F128 — Digital
Digital (12, 46, 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
(46−34, 46, 28436)-Net in Base 128 — Upper bound on s
There is no (12, 46, 28437)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 8 545359 004243 886986 296235 584242 963602 471090 867134 591560 403912 082733 555485 226264 497118 428086 364876 > 12846 [i]