Information on Result #705909
Linear OA(3236, 741, F3, 62) (dual of [741, 505, 63]-code), using construction XX applied to C1 = C([304,364]), C2 = C([306,365]), C3 = C1 + C2 = C([306,364]), and C∩ = C1 ∩ C2 = C([304,365]) based on
- linear OA(3229, 728, F3, 61) (dual of [728, 499, 62]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {304,305,…,364}, and designed minimum distance d ≥ |I|+1 = 62 [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(3235, 728, F3, 62) (dual of [728, 493, 63]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {304,305,…,365}, and designed minimum distance d ≥ |I|+1 = 63 [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 = {306,307,…,364}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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
- 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(3236, 370, F3, 2, 62) (dual of [(370, 2), 504, 63]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3236, 247, F3, 3, 62) (dual of [(247, 3), 505, 63]-NRT-code) | [i] | ||
| 3 | Linear OOA(3236, 185, F3, 4, 62) (dual of [(185, 4), 504, 63]-NRT-code) | [i] | ||
| 4 | Linear OOA(3236, 148, F3, 5, 62) (dual of [(148, 5), 504, 63]-NRT-code) | [i] | ||