Information on Result #662053
Linear OA(332, 87, F3, 11) (dual of [87, 55, 12]-code), using (u, u+v)-construction based on
- linear OA(35, 6, F3, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,3)), using
- dual of repetition code with length 6 [i]
- linear OA(327, 81, F3, 11) (dual of [81, 54, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(332, 85, F3, 2, 11) (dual of [(85, 2), 138, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(332, 85, F3, 3, 11) (dual of [(85, 3), 223, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(332, 85, F3, 4, 11) (dual of [(85, 4), 308, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(332, 85, F3, 5, 11) (dual of [(85, 5), 393, 12]-NRT-code) | [i] | ||
| 5 | Digital (21, 32, 85)-net over F3 | [i] | ||