Information on Result #686317
Linear OA(889, 2097184, F8, 14) (dual of [2097184, 2097095, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
- linear OA(885, 2097152, F8, 14) (dual of [2097152, 2097067, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(84, 32, F8, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,8)), using
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(890, 2097185, F8, 14) (dual of [2097185, 2097095, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(889, 2097184, F8, 2, 14) (dual of [(2097184, 2), 4194279, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(889, 2097184, F8, 3, 14) (dual of [(2097184, 3), 6291463, 15]-NRT-code) | [i] | ||
| 4 | Digital (75, 89, 2097184)-net over F8 | [i] | ||
| 5 | Linear OA(890, 2097186, F8, 14) (dual of [2097186, 2097096, 15]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(889, 1048592, F8, 2, 14) (dual of [(1048592, 2), 2097095, 15]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(889, 699061, F8, 3, 14) (dual of [(699061, 3), 2097094, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(889, 299597, F8, 14, 14) (dual of [(299597, 14), 4194269, 15]-NRT-code) | [i] | OA Folding and Stacking | |