Information on Result #899105
Linear OOA(1679, 130, F16, 2, 45) (dual of [(130, 2), 181, 46]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1628, 65, F16, 2, 22) (dual of [(65, 2), 102, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,107P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric NRT-code AGe(2;F,107P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OOA(1651, 65, F16, 2, 45) (dual of [(65, 2), 79, 46]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,84P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
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(1679, 130, F16, 2, 44) (dual of [(130, 2), 181, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(1681, 131, F16, 2, 45) (dual of [(131, 2), 181, 46]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(1680, 130, F16, 2, 45) (dual of [(130, 2), 180, 46]-NRT-code) | [i] | OOA Duplication | |