Information on Result #618730
Linear OA(6417, 4097, F64, 9) (dual of [4097, 4080, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(834, 8194, F8, 9) (dual of [8194, 8160, 10]-code) | [i] | Trace Code | |
| 2 | Linear OA(6472, 266242, F64, 19) (dual of [266242, 266170, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6421, 4162, F64, 9) (dual of [4162, 4141, 10]-code) | [i] | ||
| 4 | Linear OA(6422, 4177, F64, 9) (dual of [4177, 4155, 10]-code) | [i] | ||
| 5 | Linear OA(6423, 8129, F64, 9) (dual of [8129, 8106, 10]-code) | [i] | ||
| 6 | Linear OA(6421, 4102, F64, 9) (dual of [4102, 4081, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(6422, 4102, F64, 11) (dual of [4102, 4080, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(6418, 4102, F64, 9) (dual of [4102, 4084, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(6428, 4108, F64, 13) (dual of [4108, 4080, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(6420, 4108, F64, 9) (dual of [4108, 4088, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(6434, 4114, F64, 15) (dual of [4114, 4080, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(6440, 4120, F64, 17) (dual of [4120, 4080, 18]-code) | [i] | ✔ | |
| 13 | Linear OOA(6417, 1024, F64, 9, 9) (dual of [(1024, 9), 9199, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |