Information on Result #705860
Linear OA(3232, 746, F3, 60) (dual of [746, 514, 61]-code), using construction XX applied to C1 = C([306,364]), C2 = C([309,365]), C3 = C1 + C2 = C([309,364]), and C∩ = C1 ∩ C2 = C([306,365]) based on
- linear OA(3223, 728, F3, 59) (dual of [728, 505, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {306,307,…,364}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(3220, 728, F3, 57) (dual of [728, 508, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,365}, and designed minimum distance d ≥ |I|+1 = 58 [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(3214, 728, F3, 56) (dual of [728, 514, 57]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,364}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(33, 12, F3, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3232, 373, F3, 2, 60) (dual of [(373, 2), 514, 61]-NRT-code) | [i] | OOA Folding | |