Information on Result #676881
Linear OA(3239, 796, F3, 55) (dual of [796, 557, 56]-code), using construction X applied to Ce(55) ⊂ Ce(43) 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(3172, 729, F3, 44) (dual of [729, 557, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(325, 67, F3, 10) (dual of [67, 42, 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.