Information on Result #683964
Linear OA(5142, 161, F5, 85) (dual of [161, 19, 86]-code), using construction X applied to C([0,85]) ⊂ C([0,80]) based on
- linear OA(5141, 156, F5, 93) (dual of [156, 15, 94]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,85], and minimum distance d ≥ |{−7,−6,…,85}|+1 = 94 (BCH-bound) [i]
- linear OA(5137, 156, F5, 83) (dual of [156, 19, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,80], and minimum distance d ≥ |{−2,−1,…,80}|+1 = 84 (BCH-bound) [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 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.