Information on Result #1047461
Linear OOA(396, 44, F3, 3, 57) (dual of [(44, 3), 36, 58]-NRT-code), using construction X applied to AG(3;F,25P) ⊂ AG(3;F,31P) based on
- linear OOA(383, 36, F3, 3, 57) (dual of [(36, 3), 25, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,25P) 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(371, 36, F3, 3, 45) (dual of [(36, 3), 37, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;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(313, 8, F3, 3, 11) (dual of [(8, 3), 11, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [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(396, 44, F3, 3, 56) (dual of [(44, 3), 36, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(396, 22, F3, 5, 57) (dual of [(22, 5), 14, 58]-NRT-code) | [i] | OOA Folding | |