Information on Result #619702
Linear OA(12849, 144, F128, 35) (dual of [144, 95, 36]-code), using construction X applied to C([0,17]) ⊂ C([1,17]) based on
- linear OA(12835, 129, F128, 35) (dual of [129, 94, 36]-code or 129-arc in PG(34,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(12834, 129, F128, 20) (dual of [129, 95, 21]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,17], and minimum distance d ≥ |{1,2,…,15}| + |{0,37,74,…,58}∖{37,−55,19,56,−36,38,−54,20,57,−35,39,−53,21,58}| = 21 (general Roos-bound) [i]
- linear OA(12814, 15, F128, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,128)), 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.