Information on Result #869087
Linear OOA(3231, 4194301, F32, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using OOA 2-folding based on linear OA(3231, 8388602, F32, 7) (dual of [8388602, 8388571, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(3231, large, F32, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(3233, 4194302, F32, 2, 7) (dual of [(4194302, 2), 8388571, 8]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3232, 4194301, F32, 2, 7) (dual of [(4194301, 2), 8388570, 8]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3234, 4194334, F32, 2, 7) (dual of [(4194334, 2), 8388634, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(3235, 4195326, F32, 2, 7) (dual of [(4195326, 2), 8390617, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(3236, 4197437, F32, 2, 7) (dual of [(4197437, 2), 8394838, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(3237, 4229151, F32, 2, 7) (dual of [(4229151, 2), 8458265, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(3238, 5244925, F32, 2, 7) (dual of [(5244925, 2), 10489812, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(3239, 7408701, F32, 2, 7) (dual of [(7408701, 2), 14817363, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(3240, 8388602, F32, 2, 7) (dual of [(8388602, 2), 16777164, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(3297, 8388602, F32, 2, 14) (dual of [(8388602, 2), 16777107, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(32102, 8388602, F32, 2, 15) (dual of [(8388602, 2), 16777102, 16]-NRT-code) | [i] | ||