Information on Result #714225
Linear OA(765, 408, F7, 20) (dual of [408, 343, 21]-code), using construction XX applied to C1 = C([191,209]), C2 = C([190,208]), C3 = C1 + C2 = C([191,208]), and C∩ = C1 ∩ C2 = C([190,209]) based on
- linear OA(761, 400, F7, 19) (dual of [400, 339, 20]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {191,192,…,209}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(761, 400, F7, 19) (dual of [400, 339, 20]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {190,191,…,208}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(765, 400, F7, 20) (dual of [400, 335, 21]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {190,191,…,209}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(757, 400, F7, 18) (dual of [400, 343, 19]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {191,192,…,208}, and designed minimum distance d ≥ |I|+1 = 19 [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(765, 204, F7, 2, 20) (dual of [(204, 2), 343, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(765, 136, F7, 3, 20) (dual of [(136, 3), 343, 21]-NRT-code) | [i] | ||