Information on Result #617799
Linear OA(2746, 54, F27, 39) (dual of [54, 8, 40]-code), using construction X applied to C([0,37]) ⊂ C([1,37]) based on
- linear OA(2745, 52, F27, 39) (dual of [52, 7, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 272−1, defining interval I = [0,37], and minimum distance d ≥ |{−1,0,…,37}|+1 = 40 (BCH-bound) [i]
- linear OA(2744, 52, F27, 37) (dual of [52, 8, 38]-code), using the narrow-sense BCH-code C(I) with length 52 | 272−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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.