Information on Result #2251697
Linear OA(8105, 32767, F8, 24) (dual of [32767, 32662, 25]-code), using 1 times truncation based on linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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 OA(8124, 32787, F8, 24) (dual of [32787, 32663, 25]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OOA(8105, 24025, F8, 2, 24) (dual of [(24025, 2), 47945, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8105, 24025, F8, 3, 24) (dual of [(24025, 3), 71970, 25]-NRT-code) | [i] | ||
| 4 | Digital (81, 105, 24025)-net over F8 | [i] | ||
| 5 | Linear OOA(8105, 16383, F8, 2, 24) (dual of [(16383, 2), 32661, 25]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8105, 10922, F8, 3, 24) (dual of [(10922, 3), 32661, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(8105, 2730, F8, 24, 24) (dual of [(2730, 24), 65415, 25]-NRT-code) | [i] | OA Folding and Stacking | |