Information on Result #713102
Linear OA(7106, 192, F7, 45) (dual of [192, 86, 46]-code), using construction XX applied to C1 = C([22,65]), C2 = C([21,60]), C3 = C1 + C2 = C([22,60]), and C∩ = C1 ∩ C2 = C([21,65]) based on
- linear OA(797, 171, F7, 44) (dual of [171, 74, 45]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {22,23,…,65}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(788, 171, F7, 40) (dual of [171, 83, 41]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {21,22,…,60}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(7100, 171, F7, 45) (dual of [171, 71, 46]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {21,22,…,65}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(785, 171, F7, 39) (dual of [171, 86, 40]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {22,23,…,60}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(76, 18, F7, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 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
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(7106, 96, F7, 2, 45) (dual of [(96, 2), 86, 46]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7106, 64, F7, 3, 45) (dual of [(64, 3), 86, 46]-NRT-code) | [i] | ||