Information on Result #869049
Linear OOA(3221, 4194301, F32, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using OOA 2-folding based on linear OA(3221, 8388602, F32, 5) (dual of [8388602, 8388581, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, large, F32, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3222, 4194301, F32, 2, 5) (dual of [(4194301, 2), 8388580, 6]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3223, 4194334, F32, 2, 5) (dual of [(4194334, 2), 8388645, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3224, 4195358, F32, 2, 5) (dual of [(4195358, 2), 8390692, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(3225, 4228126, F32, 2, 5) (dual of [(4228126, 2), 8456227, 6]-NRT-code) | [i] | ||
| 5 | Linear OOA(3226, 5276702, F32, 2, 5) (dual of [(5276702, 2), 10553378, 6]-NRT-code) | [i] | ||
| 6 | Linear OOA(3227, 8388602, F32, 2, 5) (dual of [(8388602, 2), 16777177, 6]-NRT-code) | [i] | ||
| 7 | Linear OOA(3267, 8388602, F32, 2, 10) (dual of [(8388602, 2), 16777137, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(3272, 8388602, F32, 2, 11) (dual of [(8388602, 2), 16777132, 12]-NRT-code) | [i] | ||
| 9 | OOA(3266, 8388602, S32, 2, 10) | [i] | ||
| 10 | OOA(3271, 8388602, S32, 2, 11) | [i] | ||