Information on Result #683543
Linear OA(5134, 648, F5, 41) (dual of [648, 514, 42]-code), using construction X applied to Ce(40) ⊂ Ce(35) 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(5111, 625, F5, 36) (dual of [625, 514, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(57, 23, F5, 4) (dual of [23, 16, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 24, F5, 4) (dual of [24, 17, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(57, 24, F5, 4) (dual of [24, 17, 5]-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.