Information on Result #725022
Linear OA(25104, 631, F25, 56) (dual of [631, 527, 57]-code), using construction XX applied to C1 = C([622,52]), C2 = C([0,53]), C3 = C1 + C2 = C([0,52]), and C∩ = C1 ∩ C2 = C([622,53]) based on
- linear OA(25101, 624, F25, 55) (dual of [624, 523, 56]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−2,−1,…,52}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(2599, 624, F25, 54) (dual of [624, 525, 55]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,53], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(25103, 624, F25, 56) (dual of [624, 521, 57]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−2,−1,…,53}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(2597, 624, F25, 53) (dual of [624, 527, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [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.