Information on Result #2251840
Linear OA(8168, 262144, F8, 32) (dual of [262144, 261976, 33]-code), using 1 times truncation based on linear OA(8169, 262145, F8, 33) (dual of [262145, 261976, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(8168, 183167, F8, 2, 32) (dual of [(183167, 2), 366166, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8168, 183167, F8, 3, 32) (dual of [(183167, 3), 549333, 33]-NRT-code) | [i] | ||
| 3 | Digital (136, 168, 183167)-net over F8 | [i] | ||
| 4 | Linear OOA(8168, 131072, F8, 2, 32) (dual of [(131072, 2), 261976, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8168, 87381, F8, 3, 32) (dual of [(87381, 3), 261975, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(8168, 16384, F8, 32, 32) (dual of [(16384, 32), 524120, 33]-NRT-code) | [i] | OA Folding and Stacking | |