Information on Result #683472
Linear OA(5118, 636, F5, 37) (dual of [636, 518, 38]-code), using construction X applied to Ce(36) ⊂ Ce(33) based on
- linear OA(5115, 625, F5, 37) (dual of [625, 510, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(53, 11, F5, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-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.