Best Known (24−10, 24, s)-Nets in Base 9
(24−10, 24, 232)-Net over F9 — Constructive and digital
Digital (14, 24, 232)-net over F9, using
- trace code for nets [i] based on digital (2, 12, 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
(24−10, 24, 257)-Net over F9 — Digital
Digital (14, 24, 257)-net over F9, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(924, 257, F9, 10) (dual of [257, 233, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(924, 364, F9, 10) (dual of [364, 340, 11]-code), using
(24−10, 24, 12388)-Net in Base 9 — Upper bound on s
There is no (14, 24, 12389)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 79782 927087 423173 933385 > 924 [i]