Information on Result #738117
Linear OA(3131, 138, F3, 85) (dual of [138, 7, 86]-code), using juxtaposition based on
- linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-code), using
- contraction [i] based on linear OA(345, 52, F3, 27) (dual of [52, 7, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [0,25], and minimum distance d ≥ |{−1,0,…,25}|+1 = 28 (BCH-bound) [i]
- linear OA(3105, 112, F3, 71) (dual of [112, 7, 72]-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 OA(3131, 138, F3, 84) (dual of [138, 7, 85]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(3131, 69, F3, 2, 85) (dual of [(69, 2), 7, 86]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3131, 46, F3, 3, 85) (dual of [(46, 3), 7, 86]-NRT-code) | [i] | ||