Information on Result #686858
Linear OA(860, 32792, F8, 13) (dual of [32792, 32732, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
- linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 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]
- linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-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(861, 32793, F8, 13) (dual of [32793, 32732, 14]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(860, 32792, F8, 2, 13) (dual of [(32792, 2), 65524, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(860, 32792, F8, 3, 13) (dual of [(32792, 3), 98316, 14]-NRT-code) | [i] | ||
| 4 | Digital (47, 60, 32792)-net over F8 | [i] | ||
| 5 | Linear OA(861, 32794, F8, 13) (dual of [32794, 32733, 14]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(860, 16396, F8, 2, 13) (dual of [(16396, 2), 32732, 14]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(860, 10930, F8, 3, 13) (dual of [(10930, 3), 32730, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(860, 5465, F8, 13, 13) (dual of [(5465, 13), 70985, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |