Information on Result #2264329
Linear OA(3124, large, F3, 11) (dual of [large, large−124, 12]-code), using 18 times code embedding in larger space based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(3124, 6876669, F3, 2, 11) (dual of [(6876669, 2), 13753214, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3124, 6876669, F3, 3, 11) (dual of [(6876669, 3), 20629883, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3124, 6876669, F3, 4, 11) (dual of [(6876669, 4), 27506552, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(3124, 6876669, F3, 5, 11) (dual of [(6876669, 5), 34383221, 12]-NRT-code) | [i] | ||
| 5 | Digital (113, 124, 6876669)-net over F3 | [i] | ||