Information on Result #617815
Linear OA(2747, 54, F27, 41) (dual of [54, 7, 42]-code), using construction X applied to C([0,39]) ⊂ C([1,39]) based on
- linear OA(2746, 52, F27, 41) (dual of [52, 6, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 272−1, defining interval I = [0,39], and minimum distance d ≥ |{−1,0,…,39}|+1 = 42 (BCH-bound) [i]
- linear OA(2745, 52, F27, 39) (dual of [52, 7, 40]-code), using the narrow-sense BCH-code C(I) with length 52 | 272−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(271, 2, F27, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 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.
Other Results with Identical Parameters
None.
Depending Results
None.