Information on Result #674341
Linear OA(3163, 1594356, F3, 19) (dual of [1594356, 1594193, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,7]) based on
- linear OA(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3131, 1594324, F3, 15) (dual of [1594324, 1594193, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(3164, 1594357, F3, 19) (dual of [1594357, 1594193, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3162, 1594355, F3, 18) (dual of [1594355, 1594193, 19]-code) | [i] | Truncation | |
| 3 | Linear OOA(3163, 797178, F3, 2, 19) (dual of [(797178, 2), 1594193, 20]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3163, 531452, F3, 3, 19) (dual of [(531452, 3), 1594193, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3163, 398589, F3, 4, 19) (dual of [(398589, 4), 1594193, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3163, 318871, F3, 5, 19) (dual of [(318871, 5), 1594192, 20]-NRT-code) | [i] | ||