Information on Result #627779
Linear OA(456, 130, F4, 22) (dual of [130, 74, 23]-code), using trace code based on linear OA(1628, 65, F16, 22) (dual of [65, 37, 23]-code), using
- extended algebraic-geometric code AGe(F,42P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [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.
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(457, 131, F4, 22) (dual of [131, 74, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(457, 136, F4, 22) (dual of [136, 79, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OOA(456, 65, F4, 2, 22) (dual of [(65, 2), 74, 23]-NRT-code) | [i] | OOA Folding | |