Information on Result #712743
Linear OA(733, 177, F7, 13) (dual of [177, 144, 14]-code), using construction XX applied to C1 = C([18,29]), C2 = C([17,28]), C3 = C1 + C2 = C([18,28]), and C∩ = C1 ∩ C2 = C([17,29]) based on
- linear OA(730, 171, F7, 12) (dual of [171, 141, 13]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {18,19,…,29}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(730, 171, F7, 12) (dual of [171, 141, 13]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {17,18,…,28}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(733, 171, F7, 13) (dual of [171, 138, 14]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {17,18,…,29}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(727, 171, F7, 11) (dual of [171, 144, 12]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {18,19,…,28}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(70, 3, F7, 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(733, 88, F7, 2, 13) (dual of [(88, 2), 143, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(733, 59, F7, 3, 13) (dual of [(59, 3), 144, 14]-NRT-code) | [i] | ||