Information on Result #664760
Linear OA(1694, 126, F16, 57) (dual of [126, 32, 58]-code), using (u, u+v)-construction based on
- linear OA(1634, 63, F16, 28) (dual of [63, 29, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(1634, 64, F16, 28) (dual of [64, 30, 29]-code), using
- algebraic-geometric code AG(F,35P) [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,35P) [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(1634, 64, F16, 28) (dual of [64, 30, 29]-code), using
- linear OA(1660, 63, F16, 57) (dual of [63, 3, 58]-code), using
- 2 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(1693, 125, F16, 56) (dual of [125, 32, 57]-code) | [i] | Truncation | |
| 2 | Linear OA(1692, 124, F16, 55) (dual of [124, 32, 56]-code) | [i] | ||
| 3 | Linear OA(1691, 123, F16, 54) (dual of [123, 32, 55]-code) | [i] | ||
| 4 | Linear OOA(1694, 63, F16, 2, 57) (dual of [(63, 2), 32, 58]-NRT-code) | [i] | OOA Folding | |