Information on Result #614442
Linear OA(729, 34, F7, 19) (dual of [34, 5, 20]-code), using construction X applied to C([0,17]) ⊂ C([1,17]) based on
- linear OA(728, 32, F7, 19) (dual of [32, 4, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32 | 74−1, defining interval I = [0,17], and minimum distance d ≥ |{−1,0,…,17}|+1 = 20 (BCH-bound) [i]
- linear OA(727, 32, F7, 17) (dual of [32, 5, 18]-code), using the narrow-sense BCH-code C(I) with length 32 | 74−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.