Information on Result #631672
Linear OA(3111, 192, F3, 39) (dual of [192, 81, 40]-code), using concatenation of two codes based on
- linear OA(2721, 48, F27, 19) (dual of [48, 27, 20]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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(3112, 193, F3, 39) (dual of [193, 81, 40]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3113, 194, F3, 39) (dual of [194, 81, 40]-code) | [i] | ||
| 3 | Linear OA(3114, 195, F3, 39) (dual of [195, 81, 40]-code) | [i] | ||
| 4 | Linear OA(3110, 191, F3, 38) (dual of [191, 81, 39]-code) | [i] | Truncation | |
| 5 | Linear OOA(3111, 96, F3, 2, 39) (dual of [(96, 2), 81, 40]-NRT-code) | [i] | OOA Folding | |