Information on Result #2865083
Linear OOA(2190, 1677721, F2, 5, 17) (dual of [(1677721, 5), 8388415, 18]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2185, 1677720, F2, 5, 17) (dual of [(1677720, 5), 8388415, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, 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(2185, large, F2, 17) (dual of [large, large−185, 18]-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(2191, 1677721, F2, 5, 17) (dual of [(1677721, 5), 8388414, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2192, 1677721, F2, 5, 17) (dual of [(1677721, 5), 8388413, 18]-NRT-code) | [i] | ||