Information on Result #645360
Linear OA(1671, 102, F16, 45) (dual of [102, 31, 46]-code), using construction X applied to AG(F,18P) ⊂ AG(F,36P) based on
- linear OA(1651, 64, F16, 45) (dual of [64, 13, 46]-code), using algebraic-geometric code AG(F,18P) [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(1620, 38, F16, 17) (dual of [38, 18, 18]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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(1672, 103, F16, 45) (dual of [103, 31, 46]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1671, 51, F16, 2, 45) (dual of [(51, 2), 31, 46]-NRT-code) | [i] | OOA Folding | |