Information on Result #725026
Linear OA(25110, 637, F25, 58) (dual of [637, 527, 59]-code), using construction XX applied to C1 = C([620,52]), C2 = C([0,53]), C3 = C1 + C2 = C([0,52]), and C∩ = C1 ∩ C2 = C([620,53]) based on
- linear OA(25105, 624, F25, 57) (dual of [624, 519, 58]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−4,−3,…,52}, and designed minimum distance d ≥ |I|+1 = 58 [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(25107, 624, F25, 58) (dual of [624, 517, 59]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−4,−3,…,53}, and designed minimum distance d ≥ |I|+1 = 59 [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(253, 11, F25, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,25) or 11-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), 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.