Information on Result #1068850
Linear OOA(8159, 2097151, F81, 4, 15) (dual of [(2097151, 4), 8388545, 16]-NRT-code), using OOA 2-folding based on linear OOA(8159, 4194302, F81, 2, 15) (dual of [(4194302, 2), 8388545, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8157, 4194301, F81, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8157, 8388602, F81, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- OOA 2-folding [i] based on linear OA(8157, 8388602, F81, 15) (dual of [8388602, 8388545, 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(8163, 2097152, F81, 4, 15) (dual of [(2097152, 4), 8388545, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8160, 2097151, F81, 4, 15) (dual of [(2097151, 4), 8388544, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(8161, 2097151, F81, 4, 15) (dual of [(2097151, 4), 8388543, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(8162, 2097151, F81, 4, 15) (dual of [(2097151, 4), 8388542, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(3236, large, F3, 4, 15) | [i] | Trace Code for OOAs | |