Information on Result #822802
Linear OOA(442, 518, F4, 2, 11) (dual of [(518, 2), 994, 12]-NRT-code), using OOA 2-folding based on linear OA(442, 1036, F4, 11) (dual of [1036, 994, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(441, 1025, F4, 11) (dual of [1025, 984, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(431, 1025, F4, 9) (dual of [1025, 994, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(4235, 4194819, F4, 2, 22) (dual of [(4194819, 2), 8389403, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4247, 4194819, F4, 2, 23) (dual of [(4194819, 2), 8389391, 24]-NRT-code) | [i] | ||