Information on Result #611579
Linear OA(329, 2188, F3, 7) (dual of [2188, 2159, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)
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(328, 2187, F3, 6) (dual of [2187, 2159, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(332, 2192, F3, 7) (dual of [2192, 2160, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(344, 2203, F3, 9) (dual of [2203, 2159, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(331, 2192, F3, 6) (dual of [2192, 2161, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(344, 2204, F3, 9) (dual of [2204, 2160, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 6 | Linear OOA(329, 1094, F3, 2, 7) (dual of [(1094, 2), 2159, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(329, 729, F3, 4, 7) (dual of [(729, 4), 2887, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(329, 729, F3, 5, 7) (dual of [(729, 5), 3616, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(329, 729, F3, 7, 7) (dual of [(729, 7), 5074, 8]-NRT-code) | [i] | ||