Information on Result #2251699
Linear OA(898, 2097152, F8, 16) (dual of [2097152, 2097054, 17]-code), using 1 times truncation based on linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, 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(898, 1561281, F8, 2, 16) (dual of [(1561281, 2), 3122464, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(898, 1561281, F8, 3, 16) (dual of [(1561281, 3), 4683745, 17]-NRT-code) | [i] | ||
| 3 | Digital (82, 98, 1561281)-net over F8 | [i] | ||
| 4 | Linear OOA(898, 1048576, F8, 2, 16) (dual of [(1048576, 2), 2097054, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(898, 699050, F8, 3, 16) (dual of [(699050, 3), 2097052, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(898, 262144, F8, 16, 16) (dual of [(262144, 16), 4194206, 17]-NRT-code) | [i] | OA Folding and Stacking | |