Information on Result #618682
Linear OA(4949, 63, F49, 37) (dual of [63, 14, 38]-code), using construction X applied to C([0,18]) ⊂ C([1,18]) based on
- linear OA(4937, 50, F49, 37) (dual of [50, 13, 38]-code or 50-arc in PG(36,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(4936, 50, F49, 24) (dual of [50, 14, 25]-code), using the narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [1,18], and minimum distance d ≥ |{6,7,…,16}| + |{9,26,43,…,0}∖{16,15,14,13,12,11,−6,10,−7,9}| = 25 (general Roos-bound) [i]
- linear OA(4912, 13, F49, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,49)), using
- dual of repetition code with length 13 [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.