Information on Result #661857
Linear OA(3143, 160, F3, 79) (dual of [160, 17, 80]-code), using (u, u+v)-construction 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]
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 OA(3142, 159, F3, 78) (dual of [159, 17, 79]-code) | [i] | Truncation | |
| 2 | Linear OA(3141, 158, F3, 77) (dual of [158, 17, 78]-code) | [i] | ||
| 3 | Linear OA(3140, 157, F3, 76) (dual of [157, 17, 77]-code) | [i] | ||
| 4 | Linear OA(3139, 156, F3, 75) (dual of [156, 17, 76]-code) | [i] | ||
| 5 | Linear OA(3138, 155, F3, 74) (dual of [155, 17, 75]-code) | [i] | ||
| 6 | Linear OA(3137, 154, F3, 73) (dual of [154, 17, 74]-code) | [i] | ||
| 7 | Linear OOA(3143, 80, F3, 2, 79) (dual of [(80, 2), 17, 80]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3143, 53, F3, 3, 79) (dual of [(53, 3), 16, 80]-NRT-code) | [i] | ||
| 9 | Linear OOA(3143, 32, F3, 5, 79) (dual of [(32, 5), 17, 80]-NRT-code) | [i] | ||