Information on Result #618473
Linear OA(499, 53, F49, 7) (dual of [53, 44, 8]-code), using construction X applied to C([0,3]) ⊂ C([1,3]) based on
- linear OA(497, 50, F49, 7) (dual of [50, 43, 8]-code or 50-arc in PG(6,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(496, 50, F49, 4) (dual of [50, 44, 5]-code), using the narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [1,3], and minimum distance d ≥ |{1,2,3}| + |{0,23,46,19}∖{23,19}| = 5 (general Roos-bound) [i]
- linear OA(492, 3, F49, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,49)), using
- dual of repetition code with length 3 [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.