Information on Result #676708
Linear OA(3244, 765, F3, 61) (dual of [765, 521, 62]-code), using construction X applied to Ce(60) ⊂ Ce(52) based on
- linear OA(3229, 729, F3, 61) (dual of [729, 500, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(3208, 729, F3, 53) (dual of [729, 521, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(315, 36, F3, 7) (dual of [36, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 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.