Information on Result #677885
Linear OA(4239, 4194389, F4, 27) (dual of [4194389, 4194150, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,9]) based on
- linear OA(4221, 4194305, F4, 27) (dual of [4194305, 4194084, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4155, 4194305, F4, 19) (dual of [4194305, 4194150, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(418, 84, F4, 7) (dual of [84, 66, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-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 OA(4240, 4194390, F4, 27) (dual of [4194390, 4194150, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4239, 2097194, F4, 2, 27) (dual of [(2097194, 2), 4194149, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4239, 1398129, F4, 3, 27) (dual of [(1398129, 3), 4194148, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(4239, 322645, F4, 27, 27) (dual of [(322645, 27), 8711176, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |