Information on Result #1093575
Linear OOA(3229, 68, F3, 4, 141) (dual of [(68, 4), 43, 142]-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(386, 32, F3, 4, 65) (dual of [(32, 4), 42, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,62P) [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(3229, 68, F3, 4, 140) (dual of [(68, 4), 43, 141]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3233, 69, F3, 4, 141) (dual of [(69, 4), 43, 142]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3222, 66, F3, 4, 134) (dual of [(66, 4), 42, 135]-NRT-code) | [i] | Truncation for OOAs | |