Information on Result #618617
Linear OA(4933, 61, F49, 23) (dual of [61, 28, 24]-code), using construction X applied to C([0,11]) ⊂ C([1,11]) based on
- linear OA(4923, 50, F49, 23) (dual of [50, 27, 24]-code or 50-arc in PG(22,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(4922, 50, F49, 12) (dual of [50, 28, 13]-code), using the narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [1,11], and minimum distance d ≥ |{1,2,…,11}| + |{0,11,22,…,21}∖{11,22,−17,−6,5,16,−23,−1,10,21}| = 13 (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.