Best Known (12, 74, s)-Nets in Base 128
(12, 74, 288)-Net over F128 — Constructive and digital
Digital (12, 74, 288)-net over F128, using
- t-expansion [i] based on digital (9, 74, 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
(12, 74, 321)-Net over F128 — Digital
Digital (12, 74, 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
(12, 74, 10464)-Net in Base 128 — Upper bound on s
There is no (12, 74, 10465)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 859808 155681 334451 011308 899414 817250 211893 120570 587805 682913 048391 355444 368384 752658 231192 929269 499206 954919 377491 801757 009481 719458 268417 888964 979266 050208 > 12874 [i]