Best Known (61−46, 61, s)-Nets in Base 128
(61−46, 61, 288)-Net over F128 — Constructive and digital
Digital (15, 61, 288)-net over F128, using
- t-expansion [i] based on digital (9, 61, 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
(61−46, 61, 386)-Net over F128 — Digital
Digital (15, 61, 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
(61−46, 61, 28785)-Net in Base 128 — Upper bound on s
There is no (15, 61, 28786)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 346 769066 987320 799134 898618 494632 136927 249370 529782 717158 948440 205672 685821 683865 016215 556977 121488 541148 567954 338770 316838 877968 > 12861 [i]