Information on Result #669991
Linear OA(6424, 4161, F64, 10) (dual of [4161, 4137, 11]-code), using (u, u+v)-construction based on
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- extended Reed–Solomon code RSe(60,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(6424, 1387, F64, 3, 10) (dual of [(1387, 3), 4137, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6424, 832, F64, 10, 10) (dual of [(832, 10), 8296, 11]-NRT-code) | [i] | OA Folding and Stacking | |