Information on Result #1128622
Linear OOA(2251, 69, F2, 5, 118) (dual of [(69, 5), 94, 119]-NRT-code), using construction X applied to AG(5;F,60P) ⊂ AG(5;F,82P) based on
- linear OOA(2188, 48, F2, 5, 119) (dual of [(48, 5), 52, 120]-NRT-code), using algebraic-geometric NRT-code AG(5;F,60P) 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(2144, 48, F2, 5, 75) (dual of [(48, 5), 96, 76]-NRT-code), using algebraic-geometric NRT-code AG(5;F,82P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(263, 21, F2, 5, 42) (dual of [(21, 5), 42, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,62P) [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(2251, 69, F2, 5, 117) (dual of [(69, 5), 94, 118]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2251, 69, F2, 5, 116) (dual of [(69, 5), 94, 117]-NRT-code) | [i] | ||
| 3 | Linear OOA(2251, 69, F2, 5, 115) (dual of [(69, 5), 94, 116]-NRT-code) | [i] | ||
| 4 | Linear OOA(2251, 69, F2, 5, 114) (dual of [(69, 5), 94, 115]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 70, F2, 5, 118) (dual of [(70, 5), 94, 119]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |