Information on Result #618677
Linear OA(4945, 61, F49, 35) (dual of [61, 16, 36]-code), using construction X applied to C([0,17]) ⊂ C([1,17]) based on
- linear OA(4935, 50, F49, 35) (dual of [50, 15, 36]-code or 50-arc in PG(34,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4934, 50, F49, 24) (dual of [50, 16, 25]-code), using the narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [1,17], and minimum distance d ≥ |{7,8,…,16}| + |{9,26,43,…,0}∖{16,15,14,13,12,11,10,−7,9}| = 25 (general Roos-bound) [i]
- linear OA(4910, 11, F49, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,49)), 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.