Information on Result #713010
Linear OA(7101, 202, F7, 41) (dual of [202, 101, 42]-code), using construction XX applied to C1 = C([29,65]), C2 = C([25,60]), C3 = C1 + C2 = C([29,60]), and C∩ = C1 ∩ C2 = C([25,65]) based on
- linear OA(782, 171, F7, 37) (dual of [171, 89, 38]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,65}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(779, 171, F7, 36) (dual of [171, 92, 37]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,…,60}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(791, 171, F7, 41) (dual of [171, 80, 42]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,…,65}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(770, 171, F7, 32) (dual of [171, 101, 33]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,60}, and designed minimum distance d ≥ |I|+1 = 33 [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(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), 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, 101, F7, 2, 41) (dual of [(101, 2), 101, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7101, 67, F7, 3, 41) (dual of [(67, 3), 100, 42]-NRT-code) | [i] | ||