Information on Result #669741
Linear OA(6466, 4162, F64, 27) (dual of [4162, 4096, 28]-code), using (u, u+v)-construction based on
- linear OA(6413, 65, F64, 13) (dual of [65, 52, 14]-code or 65-arc in PG(12,64)), using
- extended Reed–Solomon code RSe(52,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(6453, 4097, F64, 27) (dual of [4097, 4044, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
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 OOA(6466, 2081, F64, 2, 27) (dual of [(2081, 2), 4096, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6466, 1387, F64, 3, 27) (dual of [(1387, 3), 4095, 28]-NRT-code) | [i] | ||