Information on Result #929837
Linear OOA(1687, 78, F16, 2, 67) (dual of [(78, 2), 69, 68]-NRT-code), using construction X applied to AG(2;F,60P) ⊂ AG(2;F,75P) based on
- linear OOA(1673, 64, F16, 2, 67) (dual of [(64, 2), 55, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,60P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1658, 64, F16, 2, 52) (dual of [(64, 2), 70, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,75P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1614, 14, F16, 2, 14) (dual of [(14, 2), 14, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1614, 16, F16, 2, 14) (dual of [(16, 2), 18, 15]-NRT-code), using
- Reed–Solomon NRT-code RS(2;18,16) [i]
- discarding factors / shortening the dual code based on linear OOA(1614, 16, F16, 2, 14) (dual of [(16, 2), 18, 15]-NRT-code), 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(4174, 156, F4, 2, 67) (dual of [(156, 2), 138, 68]-NRT-code) | [i] | Trace Code for OOAs | |