Information on Result #704098
Linear OA(3236, 789, F3, 55) (dual of [789, 553, 56]-code), using construction X applied to C([337,391]) ⊂ C([348,391]) based on
- linear OA(3211, 728, F3, 55) (dual of [728, 517, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,391}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3175, 728, F3, 44) (dual of [728, 553, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {348,349,…,391}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(325, 61, F3, 10) (dual of [61, 36, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(325, 80, F3, 10) (dual of [80, 55, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(325, 80, F3, 10) (dual of [80, 55, 11]-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.