Information on Result #717484
Linear OA(8116, 834, F8, 34) (dual of [834, 718, 35]-code), using construction XX applied to C1 = C([85,116]), C2 = C([88,118]), C3 = C1 + C2 = C([88,116]), and C∩ = C1 ∩ C2 = C([85,118]) based on
- linear OA(8108, 819, F8, 32) (dual of [819, 711, 33]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {85,86,…,116}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8105, 819, F8, 31) (dual of [819, 714, 32]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {88,89,…,118}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(8113, 819, F8, 34) (dual of [819, 706, 35]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {85,86,…,118}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(8100, 819, F8, 29) (dual of [819, 719, 30]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {88,89,…,116}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- linear OA(81, 6, F8, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), 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(8116, 417, F8, 2, 34) (dual of [(417, 2), 718, 35]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8116, 278, F8, 3, 34) (dual of [(278, 3), 718, 35]-NRT-code) | [i] | ||