Information on Result #619443
Linear OA(8157, 101, F81, 39) (dual of [101, 44, 40]-code), using construction X applied to C([0,19]) ⊂ C([1,19]) based on
- linear OA(8139, 82, F81, 39) (dual of [82, 43, 40]-code or 82-arc in PG(38,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(8138, 82, F81, 20) (dual of [82, 44, 21]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,19], and minimum distance d ≥ |{1,2,…,18}| + |{0,9,18,…,7}∖{9,18,27,36,−37,−28,−10,−1,8,17,26,35,−38,−29,−11,−2,7}| = 21 (general Roos-bound) [i]
- linear OA(8118, 19, F81, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,81)), using
- dual of repetition code with length 19 [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.