Best Known (58−32, 58, s)-Nets in Base 81
(58−32, 58, 370)-Net over F81 — Constructive and digital
Digital (26, 58, 370)-net over F81, using
- t-expansion [i] based on digital (16, 58, 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
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(58−32, 58, 593)-Net over F81 — Digital
Digital (26, 58, 593)-net over F81, using
(58−32, 58, 704209)-Net in Base 81 — Upper bound on s
There is no (26, 58, 704210)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 492 188183 241262 950941 385321 784286 301075 550759 058111 799692 454815 275749 806652 217771 493183 402650 123458 197807 628801 > 8158 [i]