Information on Result #686003
Linear OA(744, 64, F7, 25) (dual of [64, 20, 26]-code), using construction X applied to C([0,22]) ⊂ C([0,18]) based on
- linear OA(741, 57, F7, 25) (dual of [57, 16, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,22], and minimum distance d ≥ |{−2,−1,…,22}|+1 = 26 (BCH-bound) [i]
- linear OA(737, 57, F7, 21) (dual of [57, 20, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,18], and minimum distance d ≥ |{−2,−1,…,18}|+1 = 22 (BCH-bound) [i]
- linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- Reed–Solomon code RS(4,7) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.