Information on Result #674470
Linear OA(3199, 531472, F3, 25) (dual of [531472, 531273, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(3193, 531442, F3, 25) (dual of [531442, 531249, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3169, 531442, F3, 21) (dual of [531442, 531273, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-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(3200, 531473, F3, 25) (dual of [531473, 531273, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3198, 531471, F3, 24) (dual of [531471, 531273, 25]-code) | [i] | Truncation | |
| 3 | Linear OOA(3199, 265736, F3, 2, 25) (dual of [(265736, 2), 531273, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3199, 177157, F3, 3, 25) (dual of [(177157, 3), 531272, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(3199, 132868, F3, 4, 25) (dual of [(132868, 4), 531273, 26]-NRT-code) | [i] | ||