Information on Result #631859
Linear OA(3145, 232, F3, 51) (dual of [232, 87, 52]-code), using concatenation of two codes based on
- linear OA(2729, 58, F27, 25) (dual of [58, 29, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2729, 64, F27, 25) (dual of [64, 35, 26]-code), using
- extended algebraic-geometric code AGe(F,38P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2729, 64, F27, 25) (dual of [64, 35, 26]-code), 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(3144, 231, F3, 50) (dual of [231, 87, 51]-code) | [i] | Truncation | |
| 2 | Linear OOA(3145, 116, F3, 2, 51) (dual of [(116, 2), 87, 52]-NRT-code) | [i] | OOA Folding | |