Information on Result #676772
Linear OA(3248, 775, F3, 61) (dual of [775, 527, 62]-code), using construction X applied to Ce(60) ⊂ Ce(51) 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(3202, 729, F3, 52) (dual of [729, 527, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(319, 46, F3, 8) (dual of [46, 27, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(319, 48, F3, 8) (dual of [48, 29, 9]-code), using
- (u, u+v)-construction [i] based on
- linear OA(37, 24, F3, 4) (dual of [24, 17, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- linear OA(37, 24, F3, 4) (dual of [24, 17, 5]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(319, 48, F3, 8) (dual of [48, 29, 9]-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.