Information on Result #869025
Linear OOA(327, 513, F32, 2, 4) (dual of [(513, 2), 1019, 5]-NRT-code), using OOA 2-folding based on linear OA(327, 1026, F32, 4) (dual of [1026, 1019, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(327, 1024, F32, 4) (dual of [1024, 1017, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(325, 1024, F32, 3) (dual of [1024, 1019, 4]-code or 1024-cap in PG(4,32)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(3243, 4194814, F32, 2, 8) (dual of [(4194814, 2), 8389585, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3248, 4194814, F32, 2, 9) (dual of [(4194814, 2), 8389580, 10]-NRT-code) | [i] | ||
| 3 | OOA(3242, 4194814, S32, 2, 8) | [i] | ||
| 4 | OOA(3247, 4194814, S32, 2, 9) | [i] | ||