Information on Result #674398
Linear OA(3239, 1594353, F3, 28) (dual of [1594353, 1594114, 29]-code), using construction X applied to Ce(27) ⊂ Ce(24) 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(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(3240, 1594354, F3, 28) (dual of [1594354, 1594114, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3241, 1594355, F3, 28) (dual of [1594355, 1594114, 29]-code) | [i] | ||
| 3 | Linear OA(3242, 1594356, F3, 28) (dual of [1594356, 1594114, 29]-code) | [i] | ||
| 4 | Linear OOA(3239, 797176, F3, 2, 28) (dual of [(797176, 2), 1594113, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3239, 531451, F3, 3, 28) (dual of [(531451, 3), 1594114, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(3239, 398588, F3, 4, 28) (dual of [(398588, 4), 1594113, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(3239, 318870, F3, 5, 28) (dual of [(318870, 5), 1594111, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(3239, 113882, F3, 28, 28) (dual of [(113882, 28), 3188457, 29]-NRT-code) | [i] | OA Folding and Stacking | |