Information on Result #686502
Linear OA(8137, 262166, F8, 26) (dual of [262166, 262029, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(84, 22, F8, 3) (dual of [22, 18, 4]-code or 22-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(8137, 183544, F8, 2, 26) (dual of [(183544, 2), 366951, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8137, 183544, F8, 3, 26) (dual of [(183544, 3), 550495, 27]-NRT-code) | [i] | ||
| 3 | Digital (111, 137, 183544)-net over F8 | [i] | ||
| 4 | Linear OOA(8137, 131083, F8, 2, 26) (dual of [(131083, 2), 262029, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8137, 87388, F8, 3, 26) (dual of [(87388, 3), 262027, 27]-NRT-code) | [i] | ||