Information on Result #2230022
Linear OA(3142, 159, F3, 78) (dual of [159, 17, 79]-code), using 1 times truncation based on linear OA(3143, 160, F3, 79) (dual of [160, 17, 80]-code), using
- (u, u+v)-construction [i] based on
- linear OA(364, 80, F3, 39) (dual of [80, 16, 40]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(379, 80, F3, 79) (dual of [80, 1, 80]-code or 80-arc in PG(78,3)), using
- dual of repetition code with length 80 [i]
- linear OA(364, 80, F3, 39) (dual of [80, 16, 40]-code), 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(3142, 79, F3, 2, 78) (dual of [(79, 2), 16, 79]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3142, 53, F3, 3, 78) (dual of [(53, 3), 17, 79]-NRT-code) | [i] | ||