Information on Result #2264294
Linear OA(333, 97, F3, 11) (dual of [97, 64, 12]-code), using 1 times code embedding in larger space based on linear OA(332, 96, F3, 11) (dual of [96, 64, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- 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]
- linear OA(317, 81, F3, 7) (dual of [81, 64, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(35, 15, F3, 3) (dual of [15, 10, 4]-code or 15-cap in PG(4,3)), 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.
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(333, 96, F3, 2, 11) (dual of [(96, 2), 159, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(333, 96, F3, 3, 11) (dual of [(96, 3), 255, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(333, 96, F3, 4, 11) (dual of [(96, 4), 351, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(333, 96, F3, 5, 11) (dual of [(96, 5), 447, 12]-NRT-code) | [i] | ||
| 5 | Digital (22, 33, 96)-net over F3 | [i] | ||