Information on Result #894534
Linear OOA(2244, 4194309, F2, 2, 21) (dual of [(4194309, 2), 8388374, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(213, 8, F2, 2, 10) (dual of [(8, 2), 3, 11]-NRT-code), using
- linear OOA(2231, 4194301, F2, 2, 21) (dual of [(4194301, 2), 8388371, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2231, 8388602, F2, 21) (dual of [8388602, 8388371, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- OOA 2-folding [i] based on linear OA(2231, 8388602, F2, 21) (dual of [8388602, 8388371, 22]-code), using
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(2244, 4194309, F2, 2, 20) (dual of [(4194309, 2), 8388374, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2246, 4194310, F2, 2, 21) (dual of [(4194310, 2), 8388374, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2245, 4194309, F2, 2, 21) (dual of [(4194309, 2), 8388373, 22]-NRT-code) | [i] | OOA Duplication | |