Information on Result #617727
Linear OA(2743, 54, F27, 33) (dual of [54, 11, 34]-code), using construction X applied to C([0,31]) ⊂ C([1,31]) based on
- linear OA(2742, 52, F27, 33) (dual of [52, 10, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 272−1, defining interval I = [0,31], and minimum distance d ≥ |{−1,0,…,31}|+1 = 34 (BCH-bound) [i]
- linear OA(2741, 52, F27, 31) (dual of [52, 11, 32]-code), using the narrow-sense BCH-code C(I) with length 52 | 272−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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.