Information on Result #678001
Linear OA(4163, 4194356, F4, 19) (dual of [4194356, 4194193, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(4155, 4194304, F4, 19) (dual of [4194304, 4194149, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4111, 4194304, F4, 14) (dual of [4194304, 4194193, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(48, 52, F4, 4) (dual of [52, 44, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-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(4164, 4194357, F4, 19) (dual of [4194357, 4194193, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4163, 2097178, F4, 2, 19) (dual of [(2097178, 2), 4194193, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4163, 1398118, F4, 3, 19) (dual of [(1398118, 3), 4194191, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(4163, 466039, F4, 19, 19) (dual of [(466039, 19), 8854578, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |