Information on Result #714215
Linear OA(742, 408, F7, 13) (dual of [408, 366, 14]-code), using construction XX applied to C1 = C([66,77]), C2 = C([65,76]), C3 = C1 + C2 = C([66,76]), and C∩ = C1 ∩ C2 = C([65,77]) based on
- linear OA(738, 400, F7, 12) (dual of [400, 362, 13]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {66,67,…,77}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(738, 400, F7, 12) (dual of [400, 362, 13]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {65,66,…,76}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(742, 400, F7, 13) (dual of [400, 358, 14]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {65,66,…,77}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(734, 400, F7, 11) (dual of [400, 366, 12]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {66,67,…,76}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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, 4, F7, 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(742, 204, F7, 2, 13) (dual of [(204, 2), 366, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(742, 136, F7, 3, 13) (dual of [(136, 3), 366, 14]-NRT-code) | [i] | ||