Information on Result #1163670
Linear OOA(2195, 58, F2, 7, 87) (dual of [(58, 7), 211, 88]-NRT-code), using construction X applied to AG(7;F,124P) ⊂ AG(7;F,141P) based on
- linear OOA(2156, 48, F2, 7, 87) (dual of [(48, 7), 180, 88]-NRT-code), using algebraic-geometric NRT-code AG(7;F,124P) 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, 7, 53) (dual of [(48, 7), 214, 54]-NRT-code), using algebraic-geometric NRT-code AG(7;F,141P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(239, 10, F2, 7, 33) (dual of [(10, 7), 31, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,36P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, 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(2195, 58, F2, 7, 86) (dual of [(58, 7), 211, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2195, 58, F2, 7, 85) (dual of [(58, 7), 211, 86]-NRT-code) | [i] | ||