Information on Result #619747
Linear OA(12873, 150, F128, 53) (dual of [150, 77, 54]-code), using construction X applied to C([0,26]) ⊂ C([1,26]) based on
- linear OA(12853, 129, F128, 53) (dual of [129, 76, 54]-code or 129-arc in PG(52,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (BCH-bound) [i]
- linear OA(12852, 129, F128, 32) (dual of [129, 77, 33]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,26], and minimum distance d ≥ |{6,7,…,25}| + |{−32,−6,20,…,0}∖{−52,51,25,−53,50,24,−54,49,23,−55,48,22,−56,47,21,−57,46,20,−6}| = 33 (general Roos-bound) [i]
- linear OA(12820, 21, F128, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,128)), using
- dual of repetition code with length 21 [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.