Information on Result #1163675
Linear OOA(2260, 59, F2, 7, 148) (dual of [(59, 7), 153, 149]-NRT-code), using construction X applied to AG(7;F,93P) ⊂ AG(7;F,111P) based on
- linear OOA(2218, 48, F2, 7, 149) (dual of [(48, 7), 118, 150]-NRT-code), using algebraic-geometric NRT-code AG(7;F,93P) 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(2182, 48, F2, 7, 113) (dual of [(48, 7), 154, 114]-NRT-code), using algebraic-geometric NRT-code AG(7;F,111P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(242, 11, F2, 7, 34) (dual of [(11, 7), 35, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,42P) [i] based on function field F/F2 with g(F) = 8 and N(F) ≥ 11, 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(2260, 59, F2, 7, 147) (dual of [(59, 7), 153, 148]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2260, 59, F2, 7, 146) (dual of [(59, 7), 153, 147]-NRT-code) | [i] | ||