Information on Result #614491
Linear OA(737, 42, F7, 23) (dual of [42, 5, 24]-code), using construction X applied to C([0,21]) ⊂ C([1,21]) based on
- linear OA(736, 40, F7, 23) (dual of [40, 4, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 40 | 74−1, defining interval I = [0,21], and minimum distance d ≥ |{−3,0,3,…,−17}|+1 = 24 (BCH-bound) [i]
- linear OA(735, 40, F7, 21) (dual of [40, 5, 22]-code), using the narrow-sense BCH-code C(I) with length 40 | 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(71, 2, F7, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.