Information on Result #679260
Linear OA(4223, 16466, F4, 38) (dual of [16466, 16243, 39]-code), using construction X applied to Ce(37) ⊂ Ce(26) based on
- linear OA(4197, 16384, F4, 38) (dual of [16384, 16187, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4141, 16384, F4, 27) (dual of [16384, 16243, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(426, 82, F4, 10) (dual of [82, 56, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(426, 85, F4, 10) (dual of [85, 59, 11]-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(4224, 16467, F4, 38) (dual of [16467, 16243, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4223, 8233, F4, 2, 38) (dual of [(8233, 2), 16243, 39]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4223, 5488, F4, 3, 38) (dual of [(5488, 3), 16241, 39]-NRT-code) | [i] | ||