Information on Result #705804
Linear OA(3230, 750, F3, 59) (dual of [750, 520, 60]-code), using construction XX applied to C1 = C([307,363]), C2 = C([312,365]), C3 = C1 + C2 = C([312,363]), and C∩ = C1 ∩ C2 = C([307,365]) based on
- linear OA(3216, 728, F3, 57) (dual of [728, 512, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,363}, and designed minimum distance d ≥ |I|+1 = 58 [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(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 = {307,308,…,365}, and designed minimum distance d ≥ |I|+1 = 60 [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(36, 14, F3, 4) (dual of [14, 8, 5]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3230, 375, F3, 2, 59) (dual of [(375, 2), 520, 60]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3230, 250, F3, 3, 59) (dual of [(250, 3), 520, 60]-NRT-code) | [i] | ||
| 3 | Linear OOA(3230, 150, F3, 5, 59) (dual of [(150, 5), 520, 60]-NRT-code) | [i] | ||