Information on Result #724285
Linear OA(2583, 659, F25, 38) (dual of [659, 576, 39]-code), using construction XX applied to C1 = C([616,25]), C2 = C([1,29]), C3 = C1 + C2 = C([1,25]), and C∩ = C1 ∩ C2 = C([616,29]) based on
- linear OA(2565, 624, F25, 34) (dual of [624, 559, 35]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−8,−7,…,25}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2555, 624, F25, 29) (dual of [624, 569, 30]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2572, 624, F25, 38) (dual of [624, 552, 39]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−8,−7,…,29}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2548, 624, F25, 25) (dual of [624, 576, 26]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), using
- Reed–Solomon code RS(17,25) [i]
- linear OA(253, 10, F25, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,25) or 10-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
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.