Information on Result #1091916
Linear OOA(3217, 67, F3, 4, 127) (dual of [(67, 4), 51, 128]-NRT-code), using construction X applied to AG(4;F,60P) ⊂ AG(4;F,95P) based on
- linear OOA(3172, 47, F3, 4, 127) (dual of [(47, 4), 16, 128]-NRT-code), using algebraic-geometric NRT-code AG(4;F,60P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3137, 47, F3, 4, 92) (dual of [(47, 4), 51, 93]-NRT-code), using algebraic-geometric NRT-code AG(4;F,95P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(345, 20, F3, 4, 34) (dual of [(20, 4), 35, 35]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 45, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- extracting embedded OOA [i] based on digital (11, 45, 20)-net over F3, 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(3217, 67, F3, 4, 126) (dual of [(67, 4), 51, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3217, 67, F3, 4, 125) (dual of [(67, 4), 51, 126]-NRT-code) | [i] | ||