Information on Result #632120
Linear OA(3170, 236, F3, 67) (dual of [236, 66, 68]-code), using concatenation of two codes based on
- linear OA(2737, 59, F27, 33) (dual of [59, 22, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(2737, 64, F27, 33) (dual of [64, 27, 34]-code), using
- extended algebraic-geometric code AGe(F,30P) [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(2737, 64, F27, 33) (dual of [64, 27, 34]-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, 235, F3, 66) (dual of [235, 66, 67]-code) | [i] | Truncation | |
| 2 | Linear OOA(3170, 118, F3, 2, 67) (dual of [(118, 2), 66, 68]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3170, 78, F3, 3, 67) (dual of [(78, 3), 64, 68]-NRT-code) | [i] | ||