Best Known (7, 7+56, s)-Nets in Base 128
(7, 7+56, 216)-Net over F128 — Constructive and digital
Digital (7, 63, 216)-net over F128, using
- t-expansion [i] based on digital (5, 63, 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, 7+56, 262)-Net over F128 — Digital
Digital (7, 63, 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, 7+56, 4888)-Net in Base 128 — Upper bound on s
There is no (7, 63, 4889)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 5 683096 902432 684564 149776 235353 491013 193596 243615 506528 641899 624709 025607 604391 140710 377728 039981 742834 843362 528859 257809 551276 388800 > 12863 [i]