Information on Result #683598
Linear OA(5139, 657, F5, 41) (dual of [657, 518, 42]-code), using construction X applied to Ce(40) ⊂ Ce(33) based on
- linear OA(5127, 625, F5, 41) (dual of [625, 498, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(5107, 625, F5, 34) (dual of [625, 518, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(512, 32, F5, 6) (dual of [32, 20, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(512, 62, F5, 6) (dual of [62, 50, 7]-code), using
- the cyclic code C(A) with length 62 | 53−1, defining set A = {4,8,11,17}, and minimum distance d ≥ |{8,11,14,…,23}|+1 = 7 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(512, 62, F5, 6) (dual of [62, 50, 7]-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.