Information on Result #669955
Linear OA(6447, 262209, F64, 14) (dual of [262209, 262162, 15]-code), using (u, u+v)-construction based on
- linear OA(647, 65, F64, 7) (dual of [65, 58, 8]-code or 65-arc in PG(6,64)), using
- extended Reed–Solomon code RSe(58,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(6447, 37458, F64, 14, 14) (dual of [(37458, 14), 524365, 15]-NRT-code) | [i] | OA Folding and Stacking | |