Information on Result #619657
Linear OA(12835, 140, F128, 25) (dual of [140, 105, 26]-code), using construction X applied to C([0,12]) ⊂ C([1,12]) based on
- linear OA(12825, 129, F128, 25) (dual of [129, 104, 26]-code or 129-arc in PG(24,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(12824, 129, F128, 14) (dual of [129, 105, 15]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,12], and minimum distance d ≥ |{2,3,…,12}| + |{−40,−27,−14,…,0}∖{−26,−39,−52,64,51,38,25,12,−27,−40}| = 15 (general Roos-bound) [i]
- linear OA(12810, 11, F128, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,128)), using
- dual of repetition code with length 11 [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.