Information on Result #674434
Linear OA(3163, 1594368, F3, 18) (dual of [1594368, 1594205, 19]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(3157, 1594323, F3, 19) (dual of [1594323, 1594166, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3118, 1594323, F3, 14) (dual of [1594323, 1594205, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(36, 45, F3, 3) (dual of [45, 39, 4]-code or 45-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, 1594369, F3, 18) (dual of [1594369, 1594205, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3163, 797184, F3, 2, 18) (dual of [(797184, 2), 1594205, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3163, 531456, F3, 3, 18) (dual of [(531456, 3), 1594205, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(3163, 398592, F3, 4, 18) (dual of [(398592, 4), 1594205, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(3163, 318873, F3, 5, 18) (dual of [(318873, 5), 1594202, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(3163, 177152, F3, 18, 18) (dual of [(177152, 18), 3188573, 19]-NRT-code) | [i] | OA Folding and Stacking | |