Information on Result #714236
Linear OA(7102, 408, F7, 32) (dual of [408, 306, 33]-code), using construction XX applied to C1 = C([40,70]), C2 = C([39,69]), C3 = C1 + C2 = C([40,69]), and C∩ = C1 ∩ C2 = C([39,70]) based on
- linear OA(798, 400, F7, 31) (dual of [400, 302, 32]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {40,41,…,70}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(798, 400, F7, 31) (dual of [400, 302, 32]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {39,40,…,69}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(7102, 400, F7, 32) (dual of [400, 298, 33]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {39,40,…,70}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(794, 400, F7, 30) (dual of [400, 306, 31]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {40,41,…,69}, and designed minimum distance d ≥ |I|+1 = 31 [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(7102, 204, F7, 2, 32) (dual of [(204, 2), 306, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7102, 136, F7, 3, 32) (dual of [(136, 3), 306, 33]-NRT-code) | [i] | ||