Information on Result #736833
Linear OA(3220, 1594387, F3, 25) (dual of [1594387, 1594167, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) 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(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(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), 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(3220, 1594387, F3, 24) (dual of [1594387, 1594167, 25]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3221, 1594388, F3, 25) (dual of [1594388, 1594167, 26]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3223, 1594390, F3, 25) (dual of [1594390, 1594167, 26]-code) | [i] | ||
| 4 | Linear OA(3224, 1594391, F3, 25) (dual of [1594391, 1594167, 26]-code) | [i] | ||
| 5 | Linear OA(3219, 1594386, F3, 24) (dual of [1594386, 1594167, 25]-code) | [i] | Truncation | |
| 6 | Linear OOA(3220, 797193, F3, 2, 25) (dual of [(797193, 2), 1594166, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3220, 531462, F3, 3, 25) (dual of [(531462, 3), 1594166, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(3220, 398596, F3, 4, 25) (dual of [(398596, 4), 1594164, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(3220, 318877, F3, 5, 25) (dual of [(318877, 5), 1594165, 26]-NRT-code) | [i] | ||
| 10 | Linear OOA(3220, 132865, F3, 25, 25) (dual of [(132865, 25), 3321405, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |