Information on Result #680111
Linear OA(4132, 1036, F4, 35) (dual of [1036, 904, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,16]) based on
- linear OA(4131, 1025, F4, 35) (dual of [1025, 894, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4121, 1025, F4, 33) (dual of [1025, 904, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(4132, 518, F4, 2, 35) (dual of [(518, 2), 904, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4132, 345, F4, 3, 35) (dual of [(345, 3), 903, 36]-NRT-code) | [i] | ||