Information on Result #718653
Linear OA(984, 370, F9, 32) (dual of [370, 286, 33]-code), using construction XX applied to C1 = C([21,51]), C2 = C([20,50]), C3 = C1 + C2 = C([21,50]), and C∩ = C1 ∩ C2 = C([20,51]) based on
- linear OA(981, 364, F9, 31) (dual of [364, 283, 32]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {21,22,…,51}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(981, 364, F9, 31) (dual of [364, 283, 32]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {20,21,…,50}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(984, 364, F9, 32) (dual of [364, 280, 33]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {20,21,…,51}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(978, 364, F9, 30) (dual of [364, 286, 31]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {21,22,…,50}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code) (see above)
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(984, 185, F9, 2, 32) (dual of [(185, 2), 286, 33]-NRT-code) | [i] | OOA Folding | |