Best Known (21, 77, s)-Nets in Base 128
(21, 77, 288)-Net over F128 — Constructive and digital
Digital (21, 77, 288)-net over F128, using
- t-expansion [i] based on digital (9, 77, 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
(21, 77, 386)-Net over F128 — Digital
Digital (21, 77, 386)-net over F128, using
- t-expansion [i] based on digital (15, 77, 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
- net from sequence [i] based on digital (15, 385)-sequence over F128, using
(21, 77, 55452)-Net in Base 128 — Upper bound on s
There is no (21, 77, 55453)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 1 800001 646440 631282 485220 278709 269329 588182 806143 621163 908892 953147 641183 243768 373723 970541 060089 182891 314350 980600 918098 497731 964061 272327 206068 178520 059499 079049 > 12877 [i]