Information on Result #717343
Linear OA(8122, 593, F8, 37) (dual of [593, 471, 38]-code), using construction XX applied to C1 = C([53,88]), C2 = C([52,87]), C3 = C1 + C2 = C([53,87]), and C∩ = C1 ∩ C2 = C([52,88]) based on
- linear OA(8118, 585, F8, 36) (dual of [585, 467, 37]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {53,54,…,88}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(8118, 585, F8, 36) (dual of [585, 467, 37]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {52,53,…,87}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(8122, 585, F8, 37) (dual of [585, 463, 38]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {52,53,…,88}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(8114, 585, F8, 35) (dual of [585, 471, 36]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {53,54,…,87}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(80, 4, F8, 0) (dual of [4, 4, 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(8122, 296, F8, 2, 37) (dual of [(296, 2), 470, 38]-NRT-code) | [i] | OOA Folding | |