Information on Result #686533
Linear OA(883, 262172, F8, 15) (dual of [262172, 262089, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(879, 262144, F8, 15) (dual of [262144, 262065, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(855, 262144, F8, 11) (dual of [262144, 262089, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(883, 262172, F8, 2, 15) (dual of [(262172, 2), 524261, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(883, 262172, F8, 3, 15) (dual of [(262172, 3), 786433, 16]-NRT-code) | [i] | ||
| 3 | Digital (68, 83, 262172)-net over F8 | [i] | ||
| 4 | Linear OOA(883, 131086, F8, 2, 15) (dual of [(131086, 2), 262089, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(883, 87390, F8, 3, 15) (dual of [(87390, 3), 262087, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(883, 37453, F8, 15, 15) (dual of [(37453, 15), 561712, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |