Information on Result #644731
Linear OA(1652, 67, F16, 45) (dual of [67, 15, 46]-code), using construction X applied to AG(F,18P) ⊂ AG(F,20P) 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(1649, 64, F16, 43) (dual of [64, 15, 44]-code), using algebraic-geometric code AG(F,20P) [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(16119, 134, F16, 91) (dual of [134, 15, 92]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(1680, 132, F16, 45) (dual of [132, 52, 46]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(16117, 132, F16, 90) (dual of [132, 15, 91]-code) | [i] | Juxtaposition | |
| 4 | Linear OOA(1652, 33, F16, 2, 45) (dual of [(33, 2), 14, 46]-NRT-code) | [i] | OOA Folding | |