Information on Result #629726
Linear OA(2116, 160, F2, 39) (dual of [160, 44, 40]-code), using concatenation of two codes based on
- linear OA(1621, 32, F16, 19) (dual of [32, 11, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1621, 33, F16, 19) (dual of [33, 12, 20]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1621, 33, F16, 19) (dual of [33, 12, 20]-code), using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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(2115, 159, F2, 38) (dual of [159, 44, 39]-code) | [i] | Truncation | |
| 2 | Linear OOA(2116, 80, F2, 2, 39) (dual of [(80, 2), 44, 40]-NRT-code) | [i] | OOA Folding | |