Information on Result #683967
Linear OA(5143, 162, F5, 86) (dual of [162, 19, 87]-code), using construction X applied to C([0,85]) ⊂ C([0,80]) based on
- linear OA(5141, 156, F5, 93) (dual of [156, 15, 94]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,85], and minimum distance d ≥ |{−7,−6,…,85}|+1 = 94 (BCH-bound) [i]
- linear OA(5137, 156, F5, 83) (dual of [156, 19, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,80], and minimum distance d ≥ |{−2,−1,…,80}|+1 = 84 (BCH-bound) [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [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(5143, 81, F5, 2, 86) (dual of [(81, 2), 19, 87]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5143, 54, F5, 3, 86) (dual of [(54, 3), 19, 87]-NRT-code) | [i] | ||