Best Known (86−72, 86, s)-Nets in Base 32
(86−72, 86, 120)-Net over F32 — Constructive and digital
Digital (14, 86, 120)-net over F32, using
- t-expansion [i] based on digital (11, 86, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
(86−72, 86, 146)-Net over F32 — Digital
Digital (14, 86, 146)-net over F32, using
- net from sequence [i] based on digital (14, 145)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 14 and N(F) ≥ 146, using
(86−72, 86, 1796)-Net in Base 32 — Upper bound on s
There is no (14, 86, 1797)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2775 780507 693714 066329 130744 152622 299168 789629 242448 705743 251693 599933 972398 262763 405189 161320 249940 435599 177607 720080 545590 531464 > 3286 [i]