Information on Result #2251811
Linear OA(8140, 32768, F8, 32) (dual of [32768, 32628, 33]-code), using 1 times truncation based on linear OA(8141, 32769, F8, 33) (dual of [32769, 32628, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, 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(8140, 26285, F8, 2, 32) (dual of [(26285, 2), 52430, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8140, 26285, F8, 3, 32) (dual of [(26285, 3), 78715, 33]-NRT-code) | [i] | ||
| 3 | Digital (108, 140, 26285)-net over F8 | [i] | ||
| 4 | Linear OA(8164, 32794, F8, 32) (dual of [32794, 32630, 33]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(8165, 32796, F8, 32) (dual of [32796, 32631, 33]-code) | [i] | ||
| 6 | Linear OA(8167, 32799, F8, 32) (dual of [32799, 32632, 33]-code) | [i] | ||
| 7 | Linear OOA(8140, 16384, F8, 2, 32) (dual of [(16384, 2), 32628, 33]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(8140, 10922, F8, 3, 32) (dual of [(10922, 3), 32626, 33]-NRT-code) | [i] | ||
| 9 | Linear OOA(8140, 2048, F8, 32, 32) (dual of [(2048, 32), 65396, 33]-NRT-code) | [i] | OA Folding and Stacking | |