Information on Result #1803623
Digital (7, 12, 2404)-net over F25, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2512, 2404, F25, 5) (dual of [2404, 2392, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(251, 601, F25, 1) (dual of [601, 600, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(251, 601, F25, 1) (dual of [601, 600, 2]-code) (see above)
- linear OA(253, 601, F25, 2) (dual of [601, 598, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(253, 624, F25, 2) (dual of [624, 621, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(253, 624, F25, 2) (dual of [624, 621, 3]-code), using
- linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- linear OA(251, 601, F25, 1) (dual of [601, 600, 2]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.