Best Known (6, 14, s)-Nets in Base 81
(6, 14, 246)-Net over F81 — Constructive and digital
Digital (6, 14, 246)-net over F81, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 2, 82)-net over F81, using
- digital (0, 4, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- digital (0, 8, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81 (see above)
(6, 14, 327)-Net over F81 — Digital
Digital (6, 14, 327)-net over F81, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 327, F81, 8) (dual of [327, 313, 9]-code), using
(6, 14, 132329)-Net in Base 81 — Upper bound on s
There is no (6, 14, 132330)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 523 362141 541084 850160 041601 > 8114 [i]