Information on Result #1031642
Linear OOA(3121, 55, F3, 3, 63) (dual of [(55, 3), 44, 64]-NRT-code), using construction X applied to AG(3;F,77P) ⊂ AG(3;F,89P) based on
- linear OOA(3108, 47, F3, 3, 63) (dual of [(47, 3), 33, 64]-NRT-code), using algebraic-geometric NRT-code AG(3;F,77P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(396, 47, F3, 3, 51) (dual of [(47, 3), 45, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,89P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (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(3121, 55, F3, 3, 62) (dual of [(55, 3), 44, 63]-NRT-code) | [i] | Strength Reduction for OOAs |