Information on Result #736836
Linear OA(3246, 1594386, F3, 28) (dual of [1594386, 1594140, 29]-code), using construction X applied to Ce(27) ⊂ Ce(21) based on
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-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(3247, 1594387, F3, 28) (dual of [1594387, 1594140, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3249, 1594389, F3, 28) (dual of [1594389, 1594140, 29]-code) | [i] | ||
| 3 | Linear OA(3250, 1594390, F3, 28) (dual of [1594390, 1594140, 29]-code) | [i] | ||
| 4 | Linear OA(3245, 1594385, F3, 27) (dual of [1594385, 1594140, 28]-code) | [i] | Truncation | |
| 5 | Linear OOA(3246, 797193, F3, 2, 28) (dual of [(797193, 2), 1594140, 29]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3246, 531462, F3, 3, 28) (dual of [(531462, 3), 1594140, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(3246, 398596, F3, 4, 28) (dual of [(398596, 4), 1594138, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(3246, 318877, F3, 5, 28) (dual of [(318877, 5), 1594139, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(3246, 113884, F3, 28, 28) (dual of [(113884, 28), 3188506, 29]-NRT-code) | [i] | OA Folding and Stacking | |