Information on Result #674407
Linear OA(3161, 1594353, F3, 19) (dual of [1594353, 1594192, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
- linear OA(3157, 1594323, F3, 19) (dual of [1594323, 1594166, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-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(3162, 1594354, F3, 19) (dual of [1594354, 1594192, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3161, 797176, F3, 2, 19) (dual of [(797176, 2), 1594191, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3161, 531451, F3, 3, 19) (dual of [(531451, 3), 1594192, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3161, 398588, F3, 4, 19) (dual of [(398588, 4), 1594191, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3161, 318870, F3, 5, 19) (dual of [(318870, 5), 1594189, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3161, 177150, F3, 19, 19) (dual of [(177150, 19), 3365689, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |