Information on Result #632152
Linear OA(3170, 224, F3, 69) (dual of [224, 54, 70]-code), using concatenation of two codes based on
- linear OA(2738, 56, F27, 34) (dual of [56, 18, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(2738, 64, F27, 34) (dual of [64, 26, 35]-code), using
- extended algebraic-geometric code AGe(F,29P) [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(2738, 64, F27, 34) (dual of [64, 26, 35]-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(3169, 223, F3, 68) (dual of [223, 54, 69]-code) | [i] | Truncation | |
| 2 | Linear OOA(3170, 112, F3, 2, 69) (dual of [(112, 2), 54, 70]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3170, 74, F3, 3, 69) (dual of [(74, 3), 52, 70]-NRT-code) | [i] | ||