Information on Result #628705
Linear OA(8172, 1026, F8, 58) (dual of [1026, 854, 59]-code), using trace code based on linear OA(6486, 513, F64, 58) (dual of [513, 427, 59]-code), using
- extended algebraic-geometric code AGe(F,454P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [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(8173, 1027, F8, 58) (dual of [1027, 854, 59]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8172, 513, F8, 2, 58) (dual of [(513, 2), 854, 59]-NRT-code) | [i] | OOA Folding | |