Information on Result #686519
Linear OA(8167, 262172, F8, 31) (dual of [262172, 262005, 32]-code), using construction X applied to Ce(30) ⊂ Ce(26) based on
- linear OA(8163, 262144, F8, 31) (dual of [262144, 261981, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8139, 262144, F8, 27) (dual of [262144, 262005, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(8167, 246266, F8, 2, 31) (dual of [(246266, 2), 492365, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8167, 246266, F8, 3, 31) (dual of [(246266, 3), 738631, 32]-NRT-code) | [i] | ||
| 3 | Digital (136, 167, 246266)-net over F8 | [i] | ||
| 4 | Linear OOA(8167, 131086, F8, 2, 31) (dual of [(131086, 2), 262005, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8167, 87390, F8, 3, 31) (dual of [(87390, 3), 262003, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(8167, 17478, F8, 31, 31) (dual of [(17478, 31), 541651, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |