Information on Result #876289
Linear OOA(8117, 6562, F81, 2, 7) (dual of [(6562, 2), 13107, 8]-NRT-code), using OOA 2-folding based on linear OA(8117, 13124, F81, 7) (dual of [13124, 13107, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(814, 6562, F81, 3) (dual of [6562, 6558, 4]-code or 6562-cap in PG(3,81)), using
- linear OA(8113, 6562, F81, 7) (dual of [6562, 6549, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
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(8170, 4200863, F81, 2, 14) (dual of [(4200863, 2), 8401656, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8174, 4200863, F81, 2, 15) (dual of [(4200863, 2), 8401652, 16]-NRT-code) | [i] | ||