Information on Result #618558
Linear OA(4921, 57, F49, 15) (dual of [57, 36, 16]-code), using construction X applied to C([0,7]) ⊂ C([1,7]) based on
- linear OA(4915, 50, F49, 15) (dual of [50, 35, 16]-code or 50-arc in PG(14,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(4914, 50, F49, 8) (dual of [50, 36, 9]-code), using the narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [1,7], and minimum distance d ≥ |{1,2,…,7}| + |{0,7,14,…,49}∖{7,14,21,−22,−15,−1}| = 9 (general Roos-bound) [i]
- linear OA(496, 7, F49, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,49)), using
- dual of repetition code with length 7 [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.