Information on Result #619709
Linear OA(12852, 145, F128, 37) (dual of [145, 93, 38]-code), using construction X applied to C([0,18]) ⊂ C([1,18]) based on
- linear OA(12837, 129, F128, 37) (dual of [129, 92, 38]-code or 129-arc in PG(36,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(12836, 129, F128, 21) (dual of [129, 93, 22]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,18], and minimum distance d ≥ |{3,4,…,18}| + |{34,71,108,…,0}∖{−37,55,18,−56,36,−38,54,17,−57,35,−39,53,16,−58,34}| = 22 (general Roos-bound) [i]
- linear OA(12815, 16, F128, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,128)), using
- dual of repetition code with length 16 [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.