Information on Result #685967
Linear OA(719, 27, F7, 13) (dual of [27, 8, 14]-code), using construction X applied to C([0,38]) ⊂ C([1,35]) based on
- linear OA(718, 24, F7, 13) (dual of [24, 6, 14]-code), using contraction [i] based on linear OA(766, 72, F7, 41) (dual of [72, 6, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [0,38], and minimum distance d ≥ |{−2,−1,…,38}|+1 = 42 (BCH-bound) [i]
- linear OA(716, 24, F7, 11) (dual of [24, 8, 12]-code), using contraction [i] based on linear OA(764, 72, F7, 35) (dual of [72, 8, 36]-code), using the narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(71, 3, F7, 1) (dual of [3, 2, 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.