Information on Result #664757
Linear OA(1697, 124, F16, 61) (dual of [124, 27, 62]-code), using (u, u+v)-construction based on
- linear OA(1636, 62, F16, 30) (dual of [62, 26, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(1636, 64, F16, 30) (dual of [64, 28, 31]-code), using
- algebraic-geometric code AG(F,33P) [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,33P) [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(1636, 64, F16, 30) (dual of [64, 28, 31]-code), using
- linear OA(1661, 62, F16, 61) (dual of [62, 1, 62]-code or 62-arc in PG(60,16)), using
- dual of repetition code with length 62 [i]
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(1696, 123, F16, 60) (dual of [123, 27, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(1697, 62, F16, 2, 61) (dual of [(62, 2), 27, 62]-NRT-code) | [i] | OOA Folding | |