Information on Result #645165
Linear OA(1665, 88, F16, 47) (dual of [88, 23, 48]-code), using construction X applied to AG(F,16P) ⊂ AG(F,28P) based on
- linear OA(1653, 64, F16, 47) (dual of [64, 11, 48]-code), using algebraic-geometric code AG(F,16P) [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(1641, 64, F16, 35) (dual of [64, 23, 36]-code), using algebraic-geometric code AG(F,28P) [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(1666, 89, F16, 47) (dual of [89, 23, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4130, 164, F4, 47) (dual of [164, 34, 48]-code) | [i] | Trace Code | |
| 3 | Linear OOA(1665, 44, F16, 2, 47) (dual of [(44, 2), 23, 48]-NRT-code) | [i] | OOA Folding | |