Information on Result #654837
Linear OA(8164, 162, F81, 58) (dual of [162, 98, 59]-code), using construction X applied to AG(F,100P) ⊂ AG(F,102P) based on
- linear OA(8163, 159, F81, 58) (dual of [159, 96, 59]-code), using algebraic-geometric code AG(F,100P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- linear OA(8161, 159, F81, 56) (dual of [159, 98, 57]-code), using algebraic-geometric code AG(F,102P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 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(9128, 324, F9, 58) (dual of [324, 196, 59]-code) | [i] | Trace Code | |