Information on Result #619601
Linear OA(12824, 137, F128, 17) (dual of [137, 113, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
- linear OA(12817, 129, F128, 17) (dual of [129, 112, 18]-code or 129-arc in PG(16,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(12816, 129, F128, 9) (dual of [129, 113, 10]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,8], and minimum distance d ≥ |{1,2,…,8}| + |{0,20,40,…,31}∖{20,40,60,−49,−29,11,31}| = 10 (general Roos-bound) [i]
- linear OA(1287, 8, F128, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,128)), using
- dual of repetition code with length 8 [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.