Information on Result #632142
Linear OA(3165, 204, F3, 71) (dual of [204, 39, 72]-code), using concatenation of two codes based on
- linear OA(2738, 51, F27, 35) (dual of [51, 13, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(2738, 52, F27, 35) (dual of [52, 14, 36]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2738, 52, F27, 35) (dual of [52, 14, 36]-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(3164, 203, F3, 70) (dual of [203, 39, 71]-code) | [i] | Truncation | |
| 2 | Linear OOA(3165, 102, F3, 2, 71) (dual of [(102, 2), 39, 72]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3165, 68, F3, 3, 71) (dual of [(68, 3), 39, 72]-NRT-code) | [i] | ||