Information on Result #2250464
Linear OA(856, 4096, F8, 16) (dual of [4096, 4040, 17]-code), using 1 times truncation based on linear OA(857, 4097, F8, 17) (dual of [4097, 4040, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(856, 3041, F8, 2, 16) (dual of [(3041, 2), 6026, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(856, 3041, F8, 3, 16) (dual of [(3041, 3), 9067, 17]-NRT-code) | [i] | ||
| 3 | Digital (40, 56, 3041)-net over F8 | [i] | ||
| 4 | Linear OA(859, 4142, F8, 16) (dual of [4142, 4083, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(860, 4261, F8, 16) (dual of [4261, 4201, 17]-code) | [i] | ||
| 6 | Linear OA(861, 4539, F8, 16) (dual of [4539, 4478, 17]-code) | [i] | ||
| 7 | Linear OOA(856, 2048, F8, 2, 16) (dual of [(2048, 2), 4040, 17]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(856, 1365, F8, 3, 16) (dual of [(1365, 3), 4039, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(856, 512, F8, 16, 16) (dual of [(512, 16), 8136, 17]-NRT-code) | [i] | OA Folding and Stacking | |