Information on Result #680105
Linear OA(4162, 1036, F4, 43) (dual of [1036, 874, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,20]) based on
- linear OA(4161, 1025, F4, 43) (dual of [1025, 864, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(4151, 1025, F4, 41) (dual of [1025, 874, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(4162, 518, F4, 2, 43) (dual of [(518, 2), 874, 44]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4162, 345, F4, 3, 43) (dual of [(345, 3), 873, 44]-NRT-code) | [i] | ||