Information on Result #693801
Linear OA(25106, 647, F25, 53) (dual of [647, 541, 54]-code), using construction X applied to C([0,26]) ⊂ C([0,21]) based on
- linear OA(2597, 626, F25, 53) (dual of [626, 529, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (BCH-bound) [i]
- linear OA(2585, 626, F25, 43) (dual of [626, 541, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(259, 21, F25, 9) (dual of [21, 12, 10]-code or 21-arc in PG(8,25)), using
- discarding factors / shortening the dual code based on linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), using
- Reed–Solomon code RS(16,25) [i]
- discarding factors / shortening the dual code based on linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), 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.