Information on Result #683984
Linear OA(5121, 142, F5, 73) (dual of [142, 21, 74]-code), using construction X applied to C([0,36]) ⊂ C([0,32]) based on
- linear OA(5111, 126, F5, 73) (dual of [126, 15, 74]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,36], and minimum distance d ≥ |{−36,−35,…,36}|+1 = 74 (BCH-bound) [i]
- linear OA(5105, 126, F5, 65) (dual of [126, 21, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (BCH-bound) [i]
- linear OA(510, 16, F5, 7) (dual of [16, 6, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 20, F5, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,5) [i]
- discarding factors / shortening the dual code based on linear OA(510, 20, F5, 7) (dual of [20, 10, 8]-code), 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.