Information on Result #1163668
Linear OOA(2197, 58, F2, 7, 89) (dual of [(58, 7), 209, 90]-NRT-code), using construction X applied to AG(7;F,123P) ⊂ AG(7;F,140P) based on
- linear OOA(2158, 48, F2, 7, 89) (dual of [(48, 7), 178, 90]-NRT-code), using algebraic-geometric NRT-code AG(7;F,123P) 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(2124, 48, F2, 7, 55) (dual of [(48, 7), 212, 56]-NRT-code), using algebraic-geometric NRT-code AG(7;F,140P) 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(2197, 58, F2, 7, 88) (dual of [(58, 7), 209, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2197, 58, F2, 7, 87) (dual of [(58, 7), 209, 88]-NRT-code) | [i] | ||