Information on Result #619317
Linear OA(8127, 91, F81, 19) (dual of [91, 64, 20]-code), using construction X applied to C([0,9]) ⊂ C([1,9]) based on
- linear OA(8119, 82, F81, 19) (dual of [82, 63, 20]-code or 82-arc in PG(18,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(8118, 82, F81, 10) (dual of [82, 64, 11]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,9], and minimum distance d ≥ |{1,2,…,9}| + |{0,9,18,…,81}∖{9,18,27,36,−37,−28,−19,−1}| = 11 (general Roos-bound) [i]
- linear OA(818, 9, F81, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,81)), using
- dual of repetition code with length 9 [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.