Information on Result #619498
Linear OA(8169, 97, F81, 55) (dual of [97, 28, 56]-code), using construction X applied to C([0,27]) ⊂ C([1,27]) based on
- linear OA(8155, 82, F81, 55) (dual of [82, 27, 56]-code or 82-arc in PG(54,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
- linear OA(8154, 82, F81, 40) (dual of [82, 28, 41]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,27], and minimum distance d ≥ |{1,2,…,14}| + |{13,40,67,…,0}∖{28,29,30,31,32,33,34,35,36,37,38,39,40}| = 41 (general Roos-bound) [i]
- linear OA(8114, 15, F81, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,81)), using
- dual of repetition code with length 15 [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.