Information on Result #674373
Linear OA(3222, 1594336, F3, 26) (dual of [1594336, 1594114, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) 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(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(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3223, 1594337, F3, 26) (dual of [1594337, 1594114, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3224, 1594338, F3, 26) (dual of [1594338, 1594114, 27]-code) | [i] | ||
| 3 | Linear OA(3225, 1594339, F3, 26) (dual of [1594339, 1594114, 27]-code) | [i] | ||
| 4 | Linear OOA(3222, 797168, F3, 2, 26) (dual of [(797168, 2), 1594114, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3222, 531445, F3, 3, 26) (dual of [(531445, 3), 1594113, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(3222, 398584, F3, 4, 26) (dual of [(398584, 4), 1594114, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(3222, 318867, F3, 5, 26) (dual of [(318867, 5), 1594113, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(3222, 122641, F3, 26, 26) (dual of [(122641, 26), 3188444, 27]-NRT-code) | [i] | OA Folding and Stacking | |