Information on Result #645677
Linear OA(16130, 245, F16, 81) (dual of [245, 115, 82]-code), using construction X applied to AG(F,160P) ⊂ AG(F,162P) based on
- linear OA(16129, 242, F16, 81) (dual of [242, 113, 82]-code), using algebraic-geometric code AG(F,160P) [i] based on function field F/F16 with g(F) = 48 and N(F) ≥ 243, using
- linear OA(16127, 242, F16, 79) (dual of [242, 115, 80]-code), using algebraic-geometric code AG(F,162P) [i] based on function field F/F16 with g(F) = 48 and N(F) ≥ 243 (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 OOA(16130, 122, F16, 2, 81) (dual of [(122, 2), 114, 82]-NRT-code) | [i] | OOA Folding | |