Information on Result #1070387
Linear OOA(12863, 2097151, F128, 4, 16) (dual of [(2097151, 4), 8388541, 17]-NRT-code), using OOA 2-folding based on linear OOA(12863, 4194302, F128, 2, 16) (dual of [(4194302, 2), 8388541, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(12861, 4194301, F128, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12861, 8388602, F128, 16) (dual of [8388602, 8388541, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(12861, large, F128, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(12861, large, F128, 16) (dual of [large, large−61, 17]-code), using
- OOA 2-folding [i] based on linear OA(12861, 8388602, F128, 16) (dual of [8388602, 8388541, 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(12867, 2097152, F128, 4, 16) (dual of [(2097152, 4), 8388541, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12864, 2097151, F128, 4, 16) (dual of [(2097151, 4), 8388540, 17]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(12865, 2097151, F128, 4, 16) (dual of [(2097151, 4), 8388539, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(12866, 2097151, F128, 4, 16) (dual of [(2097151, 4), 8388538, 17]-NRT-code) | [i] | ||