Information on Result #1068704
Linear OOA(8147, 2097151, F81, 4, 12) (dual of [(2097151, 4), 8388557, 13]-NRT-code), using OOA 2-folding based on linear OOA(8147, 4194302, F81, 2, 12) (dual of [(4194302, 2), 8388557, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8145, 4194301, F81, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F81, 12) (dual of [8388602, 8388557, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F81, 12) (dual of [8388602, 8388557, 13]-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(8148, 2097151, F81, 4, 12) (dual of [(2097151, 4), 8388556, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8149, 2097151, F81, 4, 12) (dual of [(2097151, 4), 8388555, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(8150, 2097151, F81, 4, 12) (dual of [(2097151, 4), 8388554, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3188, large, F3, 4, 12) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(8168, 4194302, F81, 4, 12) (dual of [(4194302, 4), 16777140, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |