Information on Result #653005
Linear OA(6422, 82, F64, 20) (dual of [82, 60, 21]-code), using construction X applied to AG(F,58P) ⊂ AG(F,60P) based on
- linear OA(6421, 79, F64, 20) (dual of [79, 58, 21]-code), using algebraic-geometric code AG(F,58P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6419, 79, F64, 18) (dual of [79, 60, 19]-code), using algebraic-geometric code AG(F,60P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 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(844, 164, F8, 20) (dual of [164, 120, 21]-code) | [i] | Trace Code | |
| 2 | OA(1633, 82, S16, 20) | [i] | Discarding Parts of the Base for OAs | |