Information on Result #618664
Linear OA(4939, 59, F49, 31) (dual of [59, 20, 32]-code), using construction X applied to C([0,15]) ⊂ C([1,15]) based on
- linear OA(4931, 50, F49, 31) (dual of [50, 19, 32]-code or 50-arc in PG(30,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(4930, 50, F49, 22) (dual of [50, 20, 23]-code), using the narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [1,15], and minimum distance d ≥ |{1,2,…,8}| + |{0,17,34,…,7}∖{17,18,19,20,21,22,23}| = 23 (general Roos-bound) [i]
- linear OA(498, 9, F49, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,49)), using
- dual of repetition code with length 9 [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.