Information on Result #618640
Linear OA(4937, 61, F49, 27) (dual of [61, 24, 28]-code), using construction X applied to C([0,13]) ⊂ C([1,13]) based on
- linear OA(4927, 50, F49, 27) (dual of [50, 23, 28]-code or 50-arc in PG(26,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4926, 50, F49, 16) (dual of [50, 24, 17]-code), using the narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [1,13], and minimum distance d ≥ |{1,2,…,8}| + |{0,17,34,…,5}∖{17,−16,18,−15,19,20,21}| = 17 (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.