Information on Result #672060
Linear OA(8161, 6726, F81, 23) (dual of [6726, 6665, 24]-code), using (u, u+v)-construction based on
- linear OA(8116, 164, F81, 11) (dual of [164, 148, 12]-code), using
- (u, u+v)-construction [i] 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]
- linear OA(815, 82, F81, 5) (dual of [82, 77, 6]-code or 82-arc in PG(4,81)), using
- (u, u+v)-construction [i] based on
- linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(8161, 3363, F81, 2, 23) (dual of [(3363, 2), 6665, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8161, 2242, F81, 3, 23) (dual of [(2242, 3), 6665, 24]-NRT-code) | [i] | ||