Information on Result #677527
Linear OA(3156, 160, F3, 107) (dual of [160, 4, 108]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,105], and minimum distance d ≥ |{−5,8,21,…,−67}|+1 = 108 (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(3155, 159, F3, 106) (dual of [159, 4, 107]-code) | [i] | Truncation | |
| 2 | Linear OA(3154, 158, F3, 105) (dual of [158, 4, 106]-code) | [i] | ||
| 3 | Linear OA(376, 80, F3, 53) (dual of [80, 4, 54]-code) | [i] | ✔ | Contraction (with Expurgated Narrow-Sense BCH-Code) |
| 4 | Linear OOA(3156, 80, F3, 2, 107) (dual of [(80, 2), 4, 108]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3156, 32, F3, 5, 107) (dual of [(32, 5), 4, 108]-NRT-code) | [i] | ||