Best Known (14, 14+10, s)-Nets in Base 7
(14, 14+10, 104)-Net over F7 — Constructive and digital
Digital (14, 24, 104)-net over F7, using
- trace code for nets [i] based on digital (2, 12, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
(14, 14+10, 165)-Net over F7 — Digital
Digital (14, 24, 165)-net over F7, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(724, 165, F7, 10) (dual of [165, 141, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(724, 171, F7, 10) (dual of [171, 147, 11]-code), using
(14, 14+10, 4942)-Net in Base 7 — Upper bound on s
There is no (14, 24, 4943)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 191 766230 160555 145795 > 724 [i]