Best Known (80−64, 80, s)-Nets in Base 81
(80−64, 80, 370)-Net over F81 — Constructive and digital
Digital (16, 80, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
(80−64, 80, 9424)-Net in Base 81 — Upper bound on s
There is no (16, 80, 9425)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 477 671063 584878 216969 695365 701507 707719 854339 799386 422014 326211 780977 710591 846343 214464 150384 236420 142896 502019 238984 872904 067817 769772 139087 229031 488001 > 8180 [i]