Information on Result #1165339
Linear OOA(2191, 1048576, F2, 8, 17) (dual of [(1048576, 8), 8388417, 18]-NRT-code), using OOA 4-folding based on linear OOA(2191, 4194304, F2, 2, 17) (dual of [(4194304, 2), 8388417, 18]-NRT-code), using
- 3 times NRT-code embedding in larger space [i] based on linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 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
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 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, 1048576, F2, 8, 16) (dual of [(1048576, 8), 8388417, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2192, 1048576, F2, 8, 17) (dual of [(1048576, 8), 8388416, 18]-NRT-code) | [i] | OOA Duplication | |