Information on Result #617480
Linear OA(2743, 19691, F27, 13) (dual of [19691, 19648, 14]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- linear OA(2737, 19684, F27, 13) (dual of [19684, 19647, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(2736, 19684, F27, 6) (dual of [19684, 19648, 7]-code), using the narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(276, 7, F27, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,27)), using
- dual of repetition code with length 7 [i]
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.