Information on Result #612501
Linear OA(3145, 160, F3, 81) (dual of [160, 15, 82]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,79], and minimum distance d ≥ |{−1,0,…,79}|+1 = 82 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(365, 80, F3, 40) (dual of [80, 15, 41]-code) | [i] | ✔ | Contraction (with Expurgated Narrow-Sense BCH-Code) |
| 2 | Linear OA(3146, 162, F3, 81) (dual of [162, 16, 82]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OOA(3145, 80, F3, 2, 81) (dual of [(80, 2), 15, 82]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3145, 53, F3, 3, 81) (dual of [(53, 3), 14, 82]-NRT-code) | [i] | ||
| 5 | Linear OOA(3145, 32, F3, 5, 81) (dual of [(32, 5), 15, 82]-NRT-code) | [i] | ||