Information on Result #712736
Linear OA(724, 177, F7, 10) (dual of [177, 153, 11]-code), using construction XX applied to C1 = C([25,33]), C2 = C([24,32]), C3 = C1 + C2 = C([25,32]), and C∩ = C1 ∩ C2 = C([24,33]) based on
- linear OA(721, 171, F7, 9) (dual of [171, 150, 10]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,…,33}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(721, 171, F7, 9) (dual of [171, 150, 10]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,…,32}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(724, 171, F7, 10) (dual of [171, 147, 11]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,…,33}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(718, 171, F7, 8) (dual of [171, 153, 9]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,…,32}, and designed minimum distance d ≥ |I|+1 = 9 [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(724, 88, F7, 2, 10) (dual of [(88, 2), 152, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(724, 59, F7, 3, 10) (dual of [(59, 3), 153, 11]-NRT-code) | [i] | ||