Information on Result #899445
Linear OOA(2537, 7842, F25, 2, 11) (dual of [(7842, 2), 15647, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(255, 26, F25, 2, 5) (dual of [(26, 2), 47, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;47,25) [i]
- linear OOA(2532, 7816, F25, 2, 11) (dual of [(7816, 2), 15600, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2532, 15632, F25, 11) (dual of [15632, 15600, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2532, 15633, F25, 11) (dual of [15633, 15601, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(2531, 15626, F25, 11) (dual of [15626, 15595, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(2525, 15626, F25, 9) (dual of [15626, 15601, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2532, 15633, F25, 11) (dual of [15633, 15601, 12]-code), using
- OOA 2-folding [i] based on linear OA(2532, 15632, F25, 11) (dual of [15632, 15600, 12]-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.