Information on Result #628217
Linear OA(5134, 252, F5, 57) (dual of [252, 118, 58]-code), using trace code based on linear OA(2567, 126, F25, 57) (dual of [126, 59, 58]-code), using
- extended algebraic-geometric code AGe(F,68P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5135, 253, F5, 57) (dual of [253, 118, 58]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5134, 126, F5, 2, 57) (dual of [(126, 2), 118, 58]-NRT-code) | [i] | OOA Folding | |