Information on Result #1093569
Linear OOA(3217, 64, F3, 4, 139) (dual of [(64, 4), 39, 140]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,32P) based on
- linear OOA(3143, 36, F3, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(3105, 36, F3, 4, 79) (dual of [(36, 4), 39, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,32P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(374, 28, F3, 4, 59) (dual of [(28, 4), 38, 60]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,52P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, 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, 64, F3, 4, 138) (dual of [(64, 4), 39, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3221, 65, F3, 4, 139) (dual of [(65, 4), 39, 140]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3216, 63, F3, 4, 138) (dual of [(63, 4), 36, 139]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3210, 62, F3, 4, 132) (dual of [(62, 4), 38, 133]-NRT-code) | [i] | ||
| 5 | Linear OOA(3209, 62, F3, 4, 131) (dual of [(62, 4), 39, 132]-NRT-code) | [i] | ||