Information on Result #736837
Linear OA(3233, 1594386, F3, 26) (dual of [1594386, 1594153, 27]-code), using construction X applied to Ce(25) ⊂ Ce(19) based on
- linear OA(3222, 1594323, F3, 26) (dual of [1594323, 1594101, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3170, 1594323, F3, 20) (dual of [1594323, 1594153, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(3234, 1594387, F3, 26) (dual of [1594387, 1594153, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3236, 1594389, F3, 26) (dual of [1594389, 1594153, 27]-code) | [i] | ||
| 3 | Linear OOA(3233, 797193, F3, 2, 26) (dual of [(797193, 2), 1594153, 27]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3233, 531462, F3, 3, 26) (dual of [(531462, 3), 1594153, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(3233, 398596, F3, 4, 26) (dual of [(398596, 4), 1594151, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(3233, 318877, F3, 5, 26) (dual of [(318877, 5), 1594152, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(3233, 122645, F3, 26, 26) (dual of [(122645, 26), 3188537, 27]-NRT-code) | [i] | OA Folding and Stacking | |