Information on Result #645502
Linear OA(16128, 227, F16, 87) (dual of [227, 99, 88]-code), using construction X applied to AG(F,136P) ⊂ AG(F,138P) based on
- linear OA(16127, 224, F16, 87) (dual of [224, 97, 88]-code), using algebraic-geometric code AG(F,136P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(16125, 224, F16, 85) (dual of [224, 99, 86]-code), using algebraic-geometric code AG(F,138P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (see above)
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 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(4256, 454, F4, 87) (dual of [454, 198, 88]-code) | [i] | Trace Code | |
| 2 | Linear OOA(16128, 113, F16, 2, 87) (dual of [(113, 2), 98, 88]-NRT-code) | [i] | OOA Folding | |