Information on Result #645181
Linear OA(1649, 88, F16, 31) (dual of [88, 39, 32]-code), using construction X applied to AG(F,32P) ⊂ AG(F,44P) based on
- linear OA(1637, 64, F16, 31) (dual of [64, 27, 32]-code), using algebraic-geometric code AG(F,32P) [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(1625, 64, F16, 19) (dual of [64, 39, 20]-code), using algebraic-geometric code AG(F,44P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1612, 24, F16, 11) (dual of [24, 12, 12]-code), using
- extended algebraic-geometric code AGe(F,12P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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(1650, 89, F16, 31) (dual of [89, 39, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1649, 44, F16, 2, 31) (dual of [(44, 2), 39, 32]-NRT-code) | [i] | OOA Folding | |