Information on Result #869051
Linear OOA(3211, 513, F32, 2, 6) (dual of [(513, 2), 1015, 7]-NRT-code), using OOA 2-folding based on linear OA(3211, 1026, F32, 6) (dual of [1026, 1015, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(3211, 1024, F32, 6) (dual of [1024, 1013, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(329, 1024, F32, 5) (dual of [1024, 1015, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(3214, 546, F32, 2, 6) (dual of [(546, 2), 1078, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3267, 4194814, F32, 2, 12) (dual of [(4194814, 2), 8389561, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3272, 4194814, F32, 2, 13) (dual of [(4194814, 2), 8389556, 14]-NRT-code) | [i] | ||
| 4 | OOA(3265, 4194814, S32, 2, 12) | [i] | ||
| 5 | OOA(3270, 4194814, S32, 2, 13) | [i] | ||
| 6 | Digital (5, 11, 513)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |