Best Known (77−60, 77, s)-Nets in Base 128
(77−60, 77, 288)-Net over F128 — Constructive and digital
Digital (17, 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
(77−60, 77, 386)-Net over F128 — Digital
Digital (17, 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
(77−60, 77, 24278)-Net in Base 128 — Upper bound on s
There is no (17, 77, 24279)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 1 800031 063569 570788 063452 910439 808171 472820 765906 574671 846995 829232 667480 816805 501971 174663 534087 029570 270053 018076 682727 507583 184296 882803 906361 364175 536021 061480 > 12877 [i]