Information on Result #2806765
Linear OOA(8171, 2097152, F81, 4, 17) (dual of [(2097152, 4), 8388537, 18]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(8167, 2097151, F81, 4, 17) (dual of [(2097151, 4), 8388537, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(8167, 4194302, F81, 2, 17) (dual of [(4194302, 2), 8388537, 18]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8165, 4194301, F81, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8165, 8388602, F81, 17) (dual of [8388602, 8388537, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
- OOA 2-folding [i] based on linear OA(8165, 8388602, F81, 17) (dual of [8388602, 8388537, 18]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8165, 4194301, F81, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-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(8172, 2097152, F81, 4, 17) (dual of [(2097152, 4), 8388536, 18]-NRT-code) | [i] | OOA Duplication | |