Information on Result #619541
Linear OA(12812, 133, F128, 9) (dual of [133, 121, 10]-code), using construction X applied to C([0,4]) ⊂ C([1,4]) based on
- linear OA(1289, 129, F128, 9) (dual of [129, 120, 10]-code or 129-arc in PG(8,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(1288, 129, F128, 5) (dual of [129, 121, 6]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,4], and minimum distance d ≥ |{1,2,3,4}| + |{−5,0}| = 6 (simple Roos-bound) [i]
- linear OA(1283, 4, F128, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,128) or 4-cap in PG(2,128)), using
- dual of repetition code with length 4 [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.