Information on Result #898816
Linear OOA(1688, 581, F16, 2, 32) (dual of [(581, 2), 1074, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1622, 65, F16, 2, 16) (dual of [(65, 2), 108, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,113P) [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,113P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OOA(1666, 516, F16, 2, 32) (dual of [(516, 2), 966, 33]-NRT-code), using
- extracting embedded OOA [i] based on digital (34, 66, 516)-net over F16, using
- trace code for nets [i] based on digital (1, 33, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- trace code for nets [i] based on digital (1, 33, 258)-net over F256, using
- extracting embedded OOA [i] based on digital (34, 66, 516)-net over F16, 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(1689, 581, F16, 2, 32) (dual of [(581, 2), 1073, 33]-NRT-code) | [i] | OOA Duplication | |