Best Known (56−36, 56, s)-Nets in Base 81
(56−36, 56, 370)-Net over F81 — Constructive and digital
Digital (20, 56, 370)-net over F81, using
- t-expansion [i] based on digital (16, 56, 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
(56−36, 56, 81752)-Net in Base 81 — Upper bound on s
There is no (20, 56, 81753)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 75020 429831 679731 388591 822149 857982 968373 734210 230106 058393 445320 391072 602829 044257 477733 039628 521129 519521 > 8156 [i]