Information on Result #645080
Linear OA(1650, 81, F16, 36) (dual of [81, 31, 37]-code), using construction X applied to AG(F,27P) ⊂ AG(F,36P) based on
- linear OA(1642, 64, F16, 36) (dual of [64, 22, 37]-code), using algebraic-geometric code AG(F,27P) [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(168, 17, F16, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,16)), using
- extended Reed–Solomon code RSe(9,16) [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(1651, 82, F16, 36) (dual of [82, 31, 37]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1650, 40, F16, 2, 36) (dual of [(40, 2), 30, 37]-NRT-code) | [i] | OOA Folding | |