Information on Result #1290651
Linear OA(16101, 210, F16, 63) (dual of [210, 109, 64]-code), using construction X applied to AG(F,143P) ⊂ AG(F,145P) based on
- linear OA(16100, 207, F16, 63) (dual of [207, 107, 64]-code), using algebraic-geometric code AG(F,143P) [i] based on function field F/F16 with g(F) = 37 and N(F) ≥ 208, using
- linear OA(1698, 207, F16, 61) (dual of [207, 109, 62]-code), using algebraic-geometric code AG(F,145P) [i] based on function field F/F16 with g(F) = 37 and N(F) ≥ 208 (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(16101, 105, F16, 2, 63) (dual of [(105, 2), 109, 64]-NRT-code) | [i] | OOA Folding | |