Information on Result #1093574
Linear OOA(3230, 68, F3, 4, 142) (dual of [(68, 4), 42, 143]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,34P) 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(3101, 36, F3, 4, 75) (dual of [(36, 4), 43, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,34P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(387, 32, F3, 4, 66) (dual of [(32, 4), 41, 67]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,61P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, 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(3234, 69, F3, 4, 142) (dual of [(69, 4), 42, 143]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3232, 68, F3, 4, 142) (dual of [(68, 4), 40, 143]-NRT-code) | [i] | OOA Duplication | |