Best Known (7, 58, s)-Nets in Base 128
(7, 58, 216)-Net over F128 — Constructive and digital
Digital (7, 58, 216)-net over F128, using
- t-expansion [i] based on digital (5, 58, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
(7, 58, 262)-Net over F128 — Digital
Digital (7, 58, 262)-net over F128, using
- net from sequence [i] based on digital (7, 261)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 7 and N(F) ≥ 262, using
(7, 58, 5095)-Net in Base 128 — Upper bound on s
There is no (7, 58, 5096)-net in base 128, because
- 1 times m-reduction [i] would yield (7, 57, 5096)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 1 291594 424593 723995 776130 643888 965772 443962 182062 257838 853024 896182 013297 650022 596731 639649 572827 794088 395717 650257 683004 > 12857 [i]