Information on Result #674377
Linear OA(3184, 1594337, F3, 22) (dual of [1594337, 1594153, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- 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(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(31, 14, F3, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3185, 1594338, F3, 22) (dual of [1594338, 1594153, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3186, 1594339, F3, 22) (dual of [1594339, 1594153, 23]-code) | [i] | ||
| 3 | Linear OA(3183, 1594336, F3, 21) (dual of [1594336, 1594153, 22]-code) | [i] | Truncation | |
| 4 | Linear OOA(3184, 797168, F3, 2, 22) (dual of [(797168, 2), 1594152, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3184, 531445, F3, 3, 22) (dual of [(531445, 3), 1594151, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(3184, 398584, F3, 4, 22) (dual of [(398584, 4), 1594152, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(3184, 318867, F3, 5, 22) (dual of [(318867, 5), 1594151, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(3184, 144939, F3, 22, 22) (dual of [(144939, 22), 3188474, 23]-NRT-code) | [i] | OA Folding and Stacking | |