Information on Result #679556
Linear OA(4179, 4167, F4, 35) (dual of [4167, 3988, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,12]) based on
- linear OA(4157, 4097, F4, 35) (dual of [4097, 3940, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4109, 4097, F4, 25) (dual of [4097, 3988, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(422, 70, F4, 9) (dual of [70, 48, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-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(4179, 1389, F4, 3, 35) (dual of [(1389, 3), 3988, 36]-NRT-code) | [i] | OOA Folding | |