Information on Result #2284358
Linear OA(9123, 59062, F9, 27) (dual of [59062, 58939, 28]-code), using 1 times code embedding in larger space based on linear OA(9122, 59061, F9, 27) (dual of [59061, 58939, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(9121, 59050, F9, 27) (dual of [59050, 58929, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- 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(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 OOA(9123, 57694, F9, 2, 27) (dual of [(57694, 2), 115265, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9123, 57694, F9, 3, 27) (dual of [(57694, 3), 172959, 28]-NRT-code) | [i] | ||
| 3 | Digital (96, 123, 57694)-net over F9 | [i] | ||
| 4 | Linear OOA(9123, 29531, F9, 2, 27) (dual of [(29531, 2), 58939, 28]-NRT-code) | [i] | OOA Folding | |