Information on Result #676785
Linear OA(3231, 776, F3, 55) (dual of [776, 545, 56]-code), using construction X applied to Ce(55) ⊂ Ce(46) based on
- linear OA(3214, 729, F3, 56) (dual of [729, 515, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3184, 729, F3, 47) (dual of [729, 545, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(317, 47, F3, 7) (dual of [47, 30, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(317, 80, F3, 7) (dual of [80, 63, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(317, 80, F3, 7) (dual of [80, 63, 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.