Information on Result #723050
Linear OA(25108, 319, F25, 60) (dual of [319, 211, 61]-code), using construction XX applied to C1 = C([310,56]), C2 = C([0,57]), C3 = C1 + C2 = C([0,56]), and C∩ = C1 ∩ C2 = C([310,57]) based on
- linear OA(25105, 312, F25, 59) (dual of [312, 207, 60]-code), using the BCH-code C(I) with length 312 | 252−1, defining interval I = {−2,−1,…,56}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(25103, 312, F25, 58) (dual of [312, 209, 59]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [0,57], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(25107, 312, F25, 60) (dual of [312, 205, 61]-code), using the BCH-code C(I) with length 312 | 252−1, defining interval I = {−2,−1,…,57}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(25101, 312, F25, 57) (dual of [312, 211, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [0,56], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, 25, F25, 1) (dual of [25, 24, 2]-code), using
- Reed–Solomon code RS(24,25) [i]
- discarding factors / shortening the dual code based on linear OA(251, 25, F25, 1) (dual of [25, 24, 2]-code), using
- linear OA(250, 2, F25, 0) (dual of [2, 2, 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
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.