Information on Result #827531
Linear OOA(4226, 2065, F4, 2, 49) (dual of [(2065, 2), 3904, 50]-NRT-code), using OOA 2-folding based on linear OA(4226, 4130, F4, 49) (dual of [4130, 3904, 50]-code), using
- construction X applied to C([0,24]) ⊂ C([0,21]) [i] based on
- linear OA(4217, 4097, F4, 49) (dual of [4097, 3880, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(4193, 4097, F4, 43) (dual of [4097, 3904, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(49, 33, F4, 5) (dual of [33, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), 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(4228, 2066, F4, 2, 49) (dual of [(2066, 2), 3904, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4227, 2065, F4, 2, 49) (dual of [(2065, 2), 3903, 50]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4225, 2064, F4, 2, 48) (dual of [(2064, 2), 3903, 49]-NRT-code) | [i] | Truncation for OOAs | |