Information on Result #670504
Linear OA(8116, 164, F81, 11) (dual of [164, 148, 12]-code), using (u, u+v)-construction based on
- linear OA(815, 82, F81, 5) (dual of [82, 77, 6]-code or 82-arc in PG(4,81)), using
- extended Reed–Solomon code RSe(77,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(8111, 82, F81, 11) (dual of [82, 71, 12]-code or 82-arc in PG(10,81)), using
- extended Reed–Solomon code RSe(71,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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 OA(8161, 6726, F81, 23) (dual of [6726, 6665, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8159, 6725, F81, 22) (dual of [6725, 6666, 23]-code) | [i] | ||
| 3 | Linear OA(8180, 531605, F81, 22) (dual of [531605, 531525, 23]-code) | [i] | ||
| 4 | Linear OA(8161, 6727, F81, 23) (dual of [6727, 6666, 24]-code) | [i] | ||
| 5 | Linear OA(8159, 6727, F81, 22) (dual of [6727, 6668, 23]-code) | [i] | ||
| 6 | Linear OA(8180, 531608, F81, 22) (dual of [531608, 531528, 23]-code) | [i] | ||