Information on Result #851844
Linear OOA(9112, 29530, F9, 2, 25) (dual of [(29530, 2), 58948, 26]-NRT-code), using OOA 2-folding based on linear OA(9112, 59060, F9, 25) (dual of [59060, 58948, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(9112, 59061, F9, 25) (dual of [59061, 58949, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] 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
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
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(9127, 29558, F9, 2, 25) (dual of [(29558, 2), 58989, 26]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9128, 29560, F9, 2, 25) (dual of [(29560, 2), 58992, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(9129, 29562, F9, 2, 25) (dual of [(29562, 2), 58995, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(9130, 29564, F9, 2, 25) (dual of [(29564, 2), 58998, 26]-NRT-code) | [i] | ||