Information on Result #2503897
Linear OOA(5146, large, F5, 2, 11), using 22 times NRT-code embedding in larger space based on linear OOA(5102, 8388602, F5, 2, 11) (dual of [(8388602, 2), 16777102, 12]-NRT-code), using
- trace code [i] based on linear OOA(2551, 4194301, F25, 2, 11) (dual of [(4194301, 2), 8388551, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2551, 8388602, F25, 11) (dual of [8388602, 8388551, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- OOA 2-folding [i] based on linear OA(2551, 8388602, F25, 11) (dual of [8388602, 8388551, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(5147, large, F5, 2, 11) | [i] | OOA Duplication | |