Information on Result #645423
Linear OA(1678, 109, F16, 48) (dual of [109, 31, 49]-code), using construction X applied to AG(F,15P) ⊂ AG(F,36P) based on
- linear OA(1654, 64, F16, 48) (dual of [64, 10, 49]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1633, 64, F16, 27) (dual of [64, 31, 28]-code), using algebraic-geometric code AG(F,36P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1624, 45, F16, 20) (dual of [45, 21, 21]-code), using
- extended algebraic-geometric code AGe(F,24P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1679, 110, F16, 48) (dual of [110, 31, 49]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1678, 54, F16, 2, 48) (dual of [(54, 2), 30, 49]-NRT-code) | [i] | OOA Folding | |