Information on Result #619677
Linear OA(12842, 143, F128, 29) (dual of [143, 101, 30]-code), using construction X applied to C([0,14]) ⊂ C([1,14]) based on
- linear OA(12829, 129, F128, 29) (dual of [129, 100, 30]-code or 129-arc in PG(28,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(12828, 129, F128, 15) (dual of [129, 101, 16]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,14], and minimum distance d ≥ |{1,2,…,14}| + |{0,19,38,…,8}∖{19,38,57,−53,−34,4,23,42,61,−49,−30,−11,8}| = 16 (general Roos-bound) [i]
- linear OA(12813, 14, F128, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,128)), using
- dual of repetition code with length 14 [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.