Information on Result #689270
Linear OA(9112, 59061, F9, 25) (dual of [59061, 58949, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,11]) based on
- linear OA(9111, 59050, F9, 25) (dual of [59050, 58939, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(9113, 59062, F9, 25) (dual of [59062, 58949, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9132, 59144, F9, 25) (dual of [59144, 59012, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OOA(9112, 47479, F9, 2, 25) (dual of [(47479, 2), 94846, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(9112, 47479, F9, 3, 25) (dual of [(47479, 3), 142325, 26]-NRT-code) | [i] | ||
| 5 | Digital (87, 112, 47479)-net over F9 | [i] | ||
| 6 | Linear OOA(9112, 29530, F9, 2, 25) (dual of [(29530, 2), 58948, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9112, 19687, F9, 3, 25) (dual of [(19687, 3), 58949, 26]-NRT-code) | [i] | ||