Information on Result #1473062
Linear OOA(1637, 99, F16, 2, 21) (dual of [(99, 2), 161, 22]-NRT-code), using construction X applied to AG(2;F,170P) ⊂ AG(2;F,174P) based on
- linear OOA(1634, 96, F16, 2, 21) (dual of [(96, 2), 158, 22]-NRT-code), using algebraic-geometric NRT-code AG(2;F,170P) [i] based on function field F/F16 with g(F) = 13 and N(F) ≥ 97, using
- linear OOA(1630, 96, F16, 2, 17) (dual of [(96, 2), 162, 18]-NRT-code), using algebraic-geometric NRT-code AG(2;F,174P) [i] based on function field F/F16 with g(F) = 13 and N(F) ≥ 97 (see above)
- linear OOA(163, 3, F16, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(163, 16, F16, 2, 3) (dual of [(16, 2), 29, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;29,16) [i]
- discarding factors / shortening the dual code based on linear OOA(163, 16, F16, 2, 3) (dual of [(16, 2), 29, 4]-NRT-code), 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 | Digital (16, 37, 99)-net over F16 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |