Information on Result #894287
Linear OOA(2188, 4194556, F2, 2, 15) (dual of [(4194556, 2), 8388924, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(226, 255, F2, 2, 7) (dual of [(255, 2), 484, 8]-NRT-code), using
- linear OOA(2162, 4194301, F2, 2, 15) (dual of [(4194301, 2), 8388440, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-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(2188, 4194556, F2, 2, 14) (dual of [(4194556, 2), 8388924, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2190, 4194557, F2, 2, 15) (dual of [(4194557, 2), 8388924, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2189, 4194556, F2, 2, 15) (dual of [(4194556, 2), 8388923, 16]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2188, 2097278, F2, 4, 15) (dual of [(2097278, 4), 8388924, 16]-NRT-code) | [i] | OOA Folding | |