Information on Result #664762
Linear OA(1691, 122, F16, 55) (dual of [122, 31, 56]-code), using (u, u+v)-construction based on
- linear OA(1633, 61, F16, 27) (dual of [61, 28, 28]-code), using
- discarding factors / shortening the dual code based on 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, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,36P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OA(1633, 64, F16, 27) (dual of [64, 31, 28]-code), using
- linear OA(1658, 61, F16, 55) (dual of [61, 3, 56]-code), using
- 4 times truncation [i] based on linear OA(1662, 65, F16, 59) (dual of [65, 3, 60]-code), 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(1690, 121, F16, 54) (dual of [121, 31, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(1691, 61, F16, 2, 55) (dual of [(61, 2), 31, 56]-NRT-code) | [i] | OOA Folding | |