Information on Result #618575
Linear OA(4924, 58, F49, 17) (dual of [58, 34, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
- linear OA(4917, 50, F49, 17) (dual of [50, 33, 18]-code or 50-arc in PG(16,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(4916, 50, F49, 9) (dual of [50, 34, 10]-code), using the narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [1,8], and minimum distance d ≥ |{1,2,…,8}| + |{−9,0}| = 10 (simple Roos-bound) [i]
- linear OA(497, 8, F49, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,49)), using
- dual of repetition code with length 8 [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.