Information on Result #1128358
Linear OOA(2237, 63, F2, 5, 124) (dual of [(63, 5), 78, 125]-NRT-code), using construction X applied to AG(5;F,57P) ⊂ AG(5;F,73P) based on
- linear OOA(2194, 48, F2, 5, 125) (dual of [(48, 5), 46, 126]-NRT-code), using algebraic-geometric NRT-code AG(5;F,57P) 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(2162, 48, F2, 5, 93) (dual of [(48, 5), 78, 94]-NRT-code), using algebraic-geometric NRT-code AG(5;F,73P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(243, 15, F2, 5, 30) (dual of [(15, 5), 32, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,44P) [i] based on function field F/F2 with g(F) = 13 and N(F) ≥ 15, 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(2237, 63, F2, 5, 123) (dual of [(63, 5), 78, 124]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2237, 63, F2, 5, 122) (dual of [(63, 5), 78, 123]-NRT-code) | [i] | ||