Information on Result #671982
Linear OA(3263, 1048642, F32, 14) (dual of [1048642, 1048579, 15]-code), using (u, u+v)-construction based on
- linear OA(3210, 66, F32, 7) (dual of [66, 56, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(323, 33, F32, 3) (dual of [33, 30, 4]-code or 33-arc in PG(2,32) or 33-cap in PG(2,32)), using
- extended Reed–Solomon code RSe(30,32) [i]
- linear OA(327, 33, F32, 7) (dual of [33, 26, 8]-code or 33-arc in PG(6,32)), using
- extended Reed–Solomon code RSe(26,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(323, 33, F32, 3) (dual of [33, 30, 4]-code or 33-arc in PG(2,32) or 33-cap in PG(2,32)), using
- (u, u+v)-construction [i] based on
- linear OA(3253, 1048576, F32, 14) (dual of [1048576, 1048523, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, 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(3263, 149806, F32, 14, 14) (dual of [(149806, 14), 2097221, 15]-NRT-code) | [i] | OA Folding and Stacking | |