Information on Result #713100
Linear OA(7101, 187, F7, 44) (dual of [187, 86, 45]-code), using construction XX applied to C1 = C([22,64]), C2 = C([21,60]), C3 = C1 + C2 = C([22,60]), and C∩ = C1 ∩ C2 = C([21,64]) based on
- linear OA(794, 171, F7, 43) (dual of [171, 77, 44]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {22,23,…,64}, and designed minimum distance d ≥ |I|+1 = 44 [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(797, 171, F7, 44) (dual of [171, 74, 45]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {21,22,…,64}, and designed minimum distance d ≥ |I|+1 = 45 [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(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), 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(7101, 93, F7, 2, 44) (dual of [(93, 2), 85, 45]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7101, 62, F7, 3, 44) (dual of [(62, 3), 85, 45]-NRT-code) | [i] | ||