Information on Result #619744
Linear OA(12869, 148, F128, 51) (dual of [148, 79, 52]-code), using construction X applied to C([0,25]) ⊂ C([1,25]) based on
- linear OA(12851, 129, F128, 51) (dual of [129, 78, 52]-code or 129-arc in PG(50,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound) [i]
- linear OA(12850, 129, F128, 32) (dual of [129, 79, 33]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,25], and minimum distance d ≥ |{7,8,…,25}| + |{−32,−6,20,…,0}∖{−52,51,25,−53,50,24,−54,49,23,−55,48,22,−56,47,21,−57,46,20}| = 33 (general Roos-bound) [i]
- linear OA(12818, 19, F128, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,128)), using
- dual of repetition code with length 19 [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.