Information on Result #1162971
Linear OOA(2188, 45, F2, 7, 123) (dual of [(45, 7), 127, 124]-NRT-code), using construction X applied to AG(7;F,28P) ⊂ AG(7;F,30P) based on
- linear OOA(2179, 42, F2, 7, 125) (dual of [(42, 7), 115, 126]-NRT-code), using algebraic-geometric NRT-code AG(7;F,28P) 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(2167, 42, F2, 7, 113) (dual of [(42, 7), 127, 114]-NRT-code), using algebraic-geometric NRT-code AG(7;F,30P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(29, 3, F2, 7, 9) (dual of [(3, 7), 12, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;12,2) [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(2188, 45, F2, 7, 122) (dual of [(45, 7), 127, 123]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2188, 45, F2, 7, 121) (dual of [(45, 7), 127, 122]-NRT-code) | [i] | ||