Information on Result #906737
Linear OOA(2569, 195392, F25, 2, 15) (dual of [(195392, 2), 390715, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2512, 78, F25, 2, 7) (dual of [(78, 2), 144, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(252, 26, F25, 2, 2) (dual of [(26, 2), 50, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;50,25) [i]
- linear OOA(253, 26, F25, 2, 3) (dual of [(26, 2), 49, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;49,25) [i]
- linear OOA(257, 26, F25, 2, 7) (dual of [(26, 2), 45, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;45,25) [i]
- linear OOA(252, 26, F25, 2, 2) (dual of [(26, 2), 50, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2557, 195314, F25, 2, 15) (dual of [(195314, 2), 390571, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2557, 390628, F25, 15) (dual of [390628, 390571, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2557, 390629, F25, 15) (dual of [390629, 390572, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(2557, 390625, F25, 15) (dual of [390625, 390568, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(2557, 390629, F25, 15) (dual of [390629, 390572, 16]-code), using
- OOA 2-folding [i] based on linear OA(2557, 390628, F25, 15) (dual of [390628, 390571, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.