Best Known (14, 14+16, s)-Nets in Base 81
(14, 14+16, 266)-Net over F81 — Constructive and digital
Digital (14, 30, 266)-net over F81, using
- (u, u+v)-construction [i] based on
- digital (2, 10, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- digital (4, 20, 150)-net over F81, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- digital (2, 10, 116)-net over F81, using
(14, 14+16, 655)-Net over F81 — Digital
Digital (14, 30, 655)-net over F81, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8130, 655, F81, 16) (dual of [655, 625, 17]-code), using
(14, 14+16, 675175)-Net in Base 81 — Upper bound on s
There is no (14, 30, 675176)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 1797 023962 130451 107835 111771 458560 944232 374359 151245 603841 > 8130 [i]