Information on Result #1093167
Linear OOA(2206, 69, F2, 4, 85) (dual of [(69, 4), 70, 86]-NRT-code), using construction X applied to AG(4;F,53P) ⊂ AG(4;F,69P) based on
- linear OOA(2154, 48, F2, 4, 85) (dual of [(48, 4), 38, 86]-NRT-code), using algebraic-geometric NRT-code AG(4;F,53P) 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, 4, 53) (dual of [(48, 4), 70, 54]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(252, 21, F2, 4, 31) (dual of [(21, 4), 32, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,52P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, 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(2206, 69, F2, 4, 84) (dual of [(69, 4), 70, 85]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2206, 69, F2, 4, 83) (dual of [(69, 4), 70, 84]-NRT-code) | [i] | ||
| 3 | Linear OOA(2206, 69, F2, 4, 82) (dual of [(69, 4), 70, 83]-NRT-code) | [i] | ||
| 4 | Linear OOA(2210, 70, F2, 4, 85) (dual of [(70, 4), 70, 86]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2207, 69, F2, 4, 85) (dual of [(69, 4), 69, 86]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2209, 69, F2, 4, 85) (dual of [(69, 4), 67, 86]-NRT-code) | [i] | ||