Information on Result #670318
Linear OA(8166, 13124, F81, 23) (dual of [13124, 13058, 24]-code), using (u, u+v)-construction based on
- linear OA(8121, 6562, F81, 11) (dual of [6562, 6541, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 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(8166, 3281, F81, 4, 23) (dual of [(3281, 4), 13058, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8166, 1193, F81, 23, 23) (dual of [(1193, 23), 27373, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |