Information on Result #730300
Linear OA(8167, 414, F81, 37) (dual of [414, 347, 38]-code), using construction XX applied to C1 = C([22,57]), C2 = C([21,56]), C3 = C1 + C2 = C([22,56]), and C∩ = C1 ∩ C2 = C([21,57]) based on
- linear OA(8165, 410, F81, 36) (dual of [410, 345, 37]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {22,23,…,57}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(8165, 410, F81, 36) (dual of [410, 345, 37]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {21,22,…,56}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(8167, 410, F81, 37) (dual of [410, 343, 38]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {21,22,…,57}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(8163, 410, F81, 35) (dual of [410, 347, 36]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {22,23,…,56}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(810, 2, F81, 0) (dual of [2, 2, 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(8167, 207, F81, 2, 37) (dual of [(207, 2), 347, 38]-NRT-code) | [i] | OOA Folding | |