Information on Result #619741
Linear OA(12867, 148, F128, 49) (dual of [148, 81, 50]-code), using construction X applied to C([0,24]) ⊂ C([1,24]) based on
- linear OA(12849, 129, F128, 49) (dual of [129, 80, 50]-code or 129-arc in PG(48,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(12848, 129, F128, 30) (dual of [129, 81, 31]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,24], and minimum distance d ≥ |{1,2,…,19}| + |{0,26,52,…,−20}∖{26,52,−51,27,53,−50,28,54,−49,29,55,−48,30,56,−47,31,57,−46}| = 31 (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.