Information on Result #705701
Linear OA(3229, 762, F3, 57) (dual of [762, 533, 58]-code), using construction XX applied to C1 = C([309,363]), C2 = C([315,365]), C3 = C1 + C2 = C([315,363]), and C∩ = C1 ∩ C2 = C([309,365]) based on
- linear OA(3213, 728, F3, 55) (dual of [728, 515, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,363}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3202, 728, F3, 51) (dual of [728, 526, 52]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,365}, and designed minimum distance d ≥ |I|+1 = 52 [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(3195, 728, F3, 49) (dual of [728, 533, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,363}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- 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
- 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3229, 254, F3, 3, 57) (dual of [(254, 3), 533, 58]-NRT-code) | [i] | OOA Folding | |