Information on Result #705806
Linear OA(3238, 759, F3, 60) (dual of [759, 521, 61]-code), using construction XX applied to C1 = C([306,363]), C2 = C([312,365]), C3 = C1 + C2 = C([312,363]), and C∩ = C1 ∩ C2 = C([306,365]) based on
- linear OA(3222, 728, F3, 58) (dual of [728, 506, 59]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {306,307,…,363}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(3214, 728, F3, 54) (dual of [728, 514, 55]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {312,313,…,365}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(3229, 728, F3, 60) (dual of [728, 499, 61]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {306,307,…,365}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(3207, 728, F3, 52) (dual of [728, 521, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {312,313,…,363}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(38, 23, F3, 5) (dual of [23, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.