Information on Result #631034
Linear OA(3184, 222, F3, 79) (dual of [222, 38, 80]-code), using concatenation of two codes based on
- linear OA(955, 74, F9, 39) (dual of [74, 19, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(955, 80, F9, 39) (dual of [80, 25, 40]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- discarding factors / shortening the dual code based on linear OA(955, 80, F9, 39) (dual of [80, 25, 40]-code), using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3183, 221, F3, 78) (dual of [221, 38, 79]-code) | [i] | Truncation | |
| 2 | Linear OOA(3184, 111, F3, 2, 79) (dual of [(111, 2), 38, 80]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3184, 74, F3, 3, 79) (dual of [(74, 3), 38, 80]-NRT-code) | [i] | ||