Information on Result #686521
Linear OA(8155, 262172, F8, 29) (dual of [262172, 262017, 30]-code), using construction X applied to Ce(28) ⊂ Ce(24) based on
- linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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 OA(8156, 262173, F8, 29) (dual of [262173, 262017, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8155, 220920, F8, 2, 29) (dual of [(220920, 2), 441685, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8155, 220920, F8, 3, 29) (dual of [(220920, 3), 662605, 30]-NRT-code) | [i] | ||
| 4 | Digital (126, 155, 220920)-net over F8 | [i] | ||
| 5 | Linear OOA(8155, 131086, F8, 2, 29) (dual of [(131086, 2), 262017, 30]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8155, 87390, F8, 3, 29) (dual of [(87390, 3), 262015, 30]-NRT-code) | [i] | ||