Information on Result #1149194
Linear OOA(2157, 54, F2, 6, 69) (dual of [(54, 6), 167, 70]-NRT-code), using construction X applied to AG(6;F,109P) ⊂ AG(6;F,118P) based on
- linear OOA(2138, 48, F2, 6, 69) (dual of [(48, 6), 150, 70]-NRT-code), using algebraic-geometric NRT-code AG(6;F,109P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2120, 48, F2, 6, 51) (dual of [(48, 6), 168, 52]-NRT-code), using algebraic-geometric NRT-code AG(6;F,118P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(219, 6, F2, 6, 17) (dual of [(6, 6), 17, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,18P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2157, 54, F2, 6, 68) (dual of [(54, 6), 167, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2157, 54, F2, 6, 67) (dual of [(54, 6), 167, 68]-NRT-code) | [i] | ||