Information on Result #1290475
Linear OA(1689, 195, F16, 55) (dual of [195, 106, 56]-code), using construction X applied to AG(F,136P) ⊂ AG(F,138P) based on
- linear OA(1688, 192, F16, 55) (dual of [192, 104, 56]-code), using algebraic-geometric code AG(F,136P) [i] based on function field F/F16 with g(F) = 33 and N(F) ≥ 193, using
- linear OA(1686, 192, F16, 53) (dual of [192, 106, 54]-code), using algebraic-geometric code AG(F,138P) [i] based on function field F/F16 with g(F) = 33 and N(F) ≥ 193 (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: 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 OOA(1689, 97, F16, 2, 55) (dual of [(97, 2), 105, 56]-NRT-code) | [i] | OOA Folding | |