Information on Result #725019
Linear OA(25105, 635, F25, 55) (dual of [635, 530, 56]-code), using construction XX applied to C1 = C([623,52]), C2 = C([4,53]), C3 = C1 + C2 = C([4,52]), and C∩ = C1 ∩ C2 = C([623,53]) based on
- linear OA(2599, 624, F25, 54) (dual of [624, 525, 55]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,52}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(2596, 624, F25, 50) (dual of [624, 528, 51]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,53}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- 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 = {−1,0,…,53}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(2594, 624, F25, 49) (dual of [624, 530, 50]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,52}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(254, 9, F25, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), 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.