Information on Result #644777
Linear OA(1629, 67, F16, 22) (dual of [67, 38, 23]-code), using construction X applied to AG(F,41P) ⊂ AG(F,43P) based on
- linear OA(1628, 64, F16, 22) (dual of [64, 36, 23]-code), using algebraic-geometric code AG(F,41P) [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(1626, 64, F16, 20) (dual of [64, 38, 21]-code), using algebraic-geometric code AG(F,43P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(458, 134, F4, 22) (dual of [134, 76, 23]-code) | [i] | Trace Code | |
| 2 | Linear OOA(2250, 201, F2, 2, 68) (dual of [(201, 2), 152, 69]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 3 | Linear OOA(1629, 33, F16, 2, 22) (dual of [(33, 2), 37, 23]-NRT-code) | [i] | OOA Folding | |