Information on Result #1127770
Linear OOA(2155, 54, F2, 5, 69) (dual of [(54, 5), 115, 70]-NRT-code), using construction X applied to AG(5;F,85P) ⊂ AG(5;F,93P) based on
- linear OOA(2138, 48, F2, 5, 69) (dual of [(48, 5), 102, 70]-NRT-code), using algebraic-geometric NRT-code AG(5;F,85P) 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(2122, 48, F2, 5, 53) (dual of [(48, 5), 118, 54]-NRT-code), using algebraic-geometric NRT-code AG(5;F,93P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(217, 6, F2, 5, 15) (dual of [(6, 5), 13, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,14P) [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(2155, 54, F2, 5, 68) (dual of [(54, 5), 115, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2155, 54, F2, 5, 67) (dual of [(54, 5), 115, 68]-NRT-code) | [i] | ||