Information on Result #687273
Linear OA(865, 4112, F8, 18) (dual of [4112, 4047, 19]-code), using construction X applied to Ce(17) ⊂ Ce(13) based on
- linear OA(861, 4096, F8, 18) (dual of [4096, 4035, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(849, 4096, F8, 14) (dual of [4096, 4047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-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 OOA(865, 3970, F8, 2, 18) (dual of [(3970, 2), 7875, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(865, 3970, F8, 3, 18) (dual of [(3970, 3), 11845, 19]-NRT-code) | [i] | ||
| 3 | Digital (47, 65, 3970)-net over F8 | [i] | ||
| 4 | Linear OOA(865, 2056, F8, 2, 18) (dual of [(2056, 2), 4047, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(865, 1370, F8, 3, 18) (dual of [(1370, 3), 4045, 19]-NRT-code) | [i] | ||