Information on Result #1093517
Linear OOA(3123, 44, F3, 4, 80) (dual of [(44, 4), 53, 81]-NRT-code), using construction X applied to AG(4;F,31P) ⊂ AG(4;F,39P) based on
- 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, using an explicitly constructive algebraic function field [i]
- linear OOA(391, 36, F3, 4, 65) (dual of [(36, 4), 53, 66]-NRT-code), using algebraic-geometric NRT-code AG(4;F,39P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(316, 8, F3, 4, 14) (dual of [(8, 4), 16, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,17P) [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, 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(3123, 44, F3, 4, 79) (dual of [(44, 4), 53, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |