Information on Result #631990
Linear OA(3156, 228, F3, 59) (dual of [228, 72, 60]-code), using concatenation of two codes based on
- linear OA(2733, 57, F27, 29) (dual of [57, 24, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2733, 64, F27, 29) (dual of [64, 31, 30]-code), using
- extended algebraic-geometric code AGe(F,34P) [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(2733, 64, F27, 29) (dual of [64, 31, 30]-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(3155, 227, F3, 58) (dual of [227, 72, 59]-code) | [i] | Truncation | |
| 2 | Linear OOA(3156, 114, F3, 2, 59) (dual of [(114, 2), 72, 60]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3156, 76, F3, 3, 59) (dual of [(76, 3), 72, 60]-NRT-code) | [i] | ||