Information on Result #1071543
Linear OOA(25645, 2097151, F256, 4, 15) (dual of [(2097151, 4), 8388559, 16]-NRT-code), using OOA 2-folding based on linear OOA(25645, 4194302, F256, 2, 15) (dual of [(4194302, 2), 8388559, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25643, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 2-folding [i] based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 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(25645, 2097151, F256, 4, 14) (dual of [(2097151, 4), 8388559, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(25649, 2097152, F256, 4, 15) (dual of [(2097152, 4), 8388559, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(25646, 2097151, F256, 4, 15) (dual of [(2097151, 4), 8388558, 16]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(25647, 2097151, F256, 4, 15) (dual of [(2097151, 4), 8388557, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(25664, 4194302, F256, 4, 15) (dual of [(4194302, 4), 16777144, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |