Information on Result #619376
Linear OA(8139, 95, F81, 27) (dual of [95, 56, 28]-code), using construction X applied to C([0,13]) ⊂ C([1,13]) based on
- linear OA(8127, 82, F81, 27) (dual of [82, 55, 28]-code or 82-arc in PG(26,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(8126, 82, F81, 14) (dual of [82, 56, 15]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,13], and minimum distance d ≥ |{1,2,…,12}| + |{0,15,30,…,31}∖{15,30,−37,−22,−7,8,23,38,−29,16,31}| = 15 (general Roos-bound) [i]
- linear OA(8112, 13, F81, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,81)), using
- dual of repetition code with length 13 [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.