Information on Result #629757
Linear OA(2138, 190, F2, 45) (dual of [190, 52, 46]-code), using concatenation of two codes based on
- linear OA(1625, 38, F16, 22) (dual of [38, 13, 23]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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(2138, 190, F2, 44) (dual of [190, 52, 45]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2139, 191, F2, 45) (dual of [191, 52, 46]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2137, 189, F2, 44) (dual of [189, 52, 45]-code) | [i] | Truncation | |
| 4 | Linear OOA(2138, 95, F2, 2, 45) (dual of [(95, 2), 52, 46]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2138, 63, F2, 3, 45) (dual of [(63, 3), 51, 46]-NRT-code) | [i] | ||