Information on Result #1127197
Linear OOA(2183, 44, F2, 5, 124) (dual of [(44, 5), 37, 125]-NRT-code), using construction X applied to AG(5;F,14P) ⊂ AG(5;F,15P) based on
- linear OOA(2179, 42, F2, 5, 125) (dual of [(42, 5), 31, 126]-NRT-code), using algebraic-geometric NRT-code AG(5;F,14P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2173, 42, F2, 5, 119) (dual of [(42, 5), 37, 120]-NRT-code), using algebraic-geometric NRT-code AG(5;F,15P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(24, 2, F2, 5, 4) (dual of [(2, 5), 6, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(5;6,2) [i]
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(2183, 44, F2, 5, 123) (dual of [(44, 5), 37, 124]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2182, 43, F2, 5, 123) (dual of [(43, 5), 33, 124]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2181, 43, F2, 5, 122) (dual of [(43, 5), 34, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(2180, 43, F2, 5, 121) (dual of [(43, 5), 35, 122]-NRT-code) | [i] | ||
| 5 | Linear OOA(2179, 43, F2, 5, 120) (dual of [(43, 5), 36, 121]-NRT-code) | [i] | ||