Information on Result #1176533
Linear OOA(2193, 76, F2, 8, 65) (dual of [(76, 8), 415, 66]-NRT-code), using (u, u+v)-construction based on
- linear OOA(274, 34, F2, 8, 32) (dual of [(34, 8), 198, 33]-NRT-code), using
- extracting embedded OOA [i] based on digital (42, 74, 34)-net over F2, using
- trace code for nets [i] based on digital (5, 37, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- trace code for nets [i] based on digital (5, 37, 17)-net over F4, using
- extracting embedded OOA [i] based on digital (42, 74, 34)-net over F2, using
- linear OOA(2119, 42, F2, 8, 65) (dual of [(42, 8), 217, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,270P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- algebraic-geometric NRT-code AG(8;F,45P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
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(2193, 76, F2, 8, 64) (dual of [(76, 8), 415, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2194, 76, F2, 8, 65) (dual of [(76, 8), 414, 66]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2195, 76, F2, 8, 65) (dual of [(76, 8), 413, 66]-NRT-code) | [i] | ||