Information on Result #613560
Linear OA(518, 628, F5, 5) (dual of [628, 610, 6]-code), using construction X applied to C([0,2]) ⊂ C([1,2]) based on
- linear OA(517, 626, F5, 5) (dual of [626, 609, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(516, 626, F5, 3) (dual of [626, 610, 4]-code or 626-cap in PG(15,5)), using the narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [1,2], and minimum distance d ≥ |{−5,−2,1}|+1 = 4 (BCH-bound) [i]
- linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.