Information on Result #2775325
Linear OOA(3219, 64, F3, 4, 142) (dual of [(64, 4), 37, 143]-NRT-code), using strength reduction based on linear OOA(3219, 64, F3, 4, 143) (dual of [(64, 4), 37, 144]-NRT-code), using
- construction X applied to AG(4;F,0P) ⊂ AG(4;F,31P) [i] 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(3107, 36, F3, 4, 81) (dual of [(36, 4), 37, 82]-NRT-code), using algebraic-geometric NRT-code AG(4;F,31P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(376, 28, F3, 4, 61) (dual of [(28, 4), 36, 62]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,50P) [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(3223, 65, F3, 4, 142) (dual of [(65, 4), 37, 143]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3218, 63, F3, 4, 141) (dual of [(63, 4), 34, 142]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3216, 63, F3, 4, 139) (dual of [(63, 4), 36, 140]-NRT-code) | [i] | ||