Information on Result #679012
Linear OA(4205, 16463, F4, 35) (dual of [16463, 16258, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,12]) based on
- linear OA(4183, 16385, F4, 35) (dual of [16385, 16202, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4127, 16385, F4, 25) (dual of [16385, 16258, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(422, 78, F4, 9) (dual of [78, 56, 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 OA(4206, 16464, F4, 35) (dual of [16464, 16258, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4207, 16465, F4, 35) (dual of [16465, 16258, 36]-code) | [i] | ||
| 3 | Linear OA(4208, 16466, F4, 35) (dual of [16466, 16258, 36]-code) | [i] | ||
| 4 | Linear OOA(4205, 8231, F4, 2, 35) (dual of [(8231, 2), 16257, 36]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4205, 5487, F4, 3, 35) (dual of [(5487, 3), 16256, 36]-NRT-code) | [i] | ||