Information on Result #614393
Linear OA(797, 5764802, F7, 15) (dual of [5764802, 5764705, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 716−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(796, 5764801, F7, 14) (dual of [5764801, 5764705, 15]-code) | [i] | Truncation | |
| 2 | Linear OA(7105, 5764813, F7, 15) (dual of [5764813, 5764708, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(7106, 5764821, F7, 15) (dual of [5764821, 5764715, 16]-code) | [i] | ||
| 4 | Linear OA(7108, 5764829, F7, 15) (dual of [5764829, 5764721, 16]-code) | [i] | ||
| 5 | Linear OA(7104, 5764810, F7, 15) (dual of [5764810, 5764706, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(7100, 5764810, F7, 15) (dual of [5764810, 5764710, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(7101, 5764822, F7, 15) (dual of [5764822, 5764721, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(799, 5764810, F7, 14) (dual of [5764810, 5764711, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(7104, 5764841, F7, 15) (dual of [5764841, 5764737, 16]-code) | [i] | ✔ | |
| 10 | Linear OOA(797, 2882401, F7, 2, 15) (dual of [(2882401, 2), 5764705, 16]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(797, 823543, F7, 15, 15) (dual of [(823543, 15), 12353048, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |