Information on Result #686527
Linear OA(8119, 262172, F8, 22) (dual of [262172, 262053, 23]-code), using construction X applied to Ce(21) ⊂ Ce(17) based on
- linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(84, 28, F8, 3) (dual of [28, 24, 4]-code or 28-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(8119, 252591, F8, 2, 22) (dual of [(252591, 2), 505063, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8119, 252591, F8, 3, 22) (dual of [(252591, 3), 757654, 23]-NRT-code) | [i] | ||
| 3 | Digital (97, 119, 252591)-net over F8 | [i] | ||
| 4 | Linear OOA(8119, 131086, F8, 2, 22) (dual of [(131086, 2), 262053, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8119, 87390, F8, 3, 22) (dual of [(87390, 3), 262051, 23]-NRT-code) | [i] | ||