Information on Result #674331
Linear OA(3215, 1594356, F3, 25) (dual of [1594356, 1594141, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(3209, 1594324, F3, 25) (dual of [1594324, 1594115, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3183, 1594324, F3, 21) (dual of [1594324, 1594141, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(36, 32, F3, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3216, 1594357, F3, 25) (dual of [1594357, 1594141, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3214, 1594355, F3, 24) (dual of [1594355, 1594141, 25]-code) | [i] | Truncation | |
| 3 | Linear OOA(3215, 797178, F3, 2, 25) (dual of [(797178, 2), 1594141, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3215, 531452, F3, 3, 25) (dual of [(531452, 3), 1594141, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(3215, 398589, F3, 4, 25) (dual of [(398589, 4), 1594141, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(3215, 318871, F3, 5, 25) (dual of [(318871, 5), 1594140, 26]-NRT-code) | [i] | ||