Information on Result #2249829
Linear OA(835, 32767, F8, 8) (dual of [32767, 32732, 9]-code), using 1 times truncation based on linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(835, 32767, F8, 2, 8) (dual of [(32767, 2), 65499, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(835, 32767, F8, 3, 8) (dual of [(32767, 3), 98266, 9]-NRT-code) | [i] | ||
| 3 | Digital (27, 35, 32767)-net over F8 | [i] | ||
| 4 | Linear OA(840, 32773, F8, 8) (dual of [32773, 32733, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(841, 32785, F8, 8) (dual of [32785, 32744, 9]-code) | [i] | ||
| 6 | Linear OOA(835, 16383, F8, 2, 8) (dual of [(16383, 2), 32731, 9]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(835, 10922, F8, 3, 8) (dual of [(10922, 3), 32731, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(835, 8191, F8, 8, 8) (dual of [(8191, 8), 65493, 9]-NRT-code) | [i] | OA Folding and Stacking | |