Information on Result #1051864
Linear OOA(2186, 2097151, F2, 4, 16) (dual of [(2097151, 4), 8388418, 17]-NRT-code), using OOA 2-folding based on linear OOA(2186, 4194302, F2, 2, 16) (dual of [(4194302, 2), 8388418, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2184, 4194301, F2, 2, 16) (dual of [(4194301, 2), 8388418, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2184, 8388602, F2, 16) (dual of [8388602, 8388418, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- OOA 2-folding [i] based on linear OA(2184, 8388602, F2, 16) (dual of [8388602, 8388418, 17]-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(2190, 2097152, F2, 4, 16) (dual of [(2097152, 4), 8388418, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2188, 2097151, F2, 4, 16) (dual of [(2097151, 4), 8388416, 17]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2189, 2097151, F2, 4, 16) (dual of [(2097151, 4), 8388415, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(2207, 2097190, F2, 4, 16) (dual of [(2097190, 4), 8388553, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2218, 2097229, F2, 4, 16) (dual of [(2097229, 4), 8388698, 17]-NRT-code) | [i] | ||