Information on Result #2955360
Linear OOA(2252, 60, F2, 7, 136) (dual of [(60, 7), 168, 137]-NRT-code), using strength reduction based on linear OOA(2252, 60, F2, 7, 137) (dual of [(60, 7), 168, 138]-NRT-code), using
- construction X applied to AG(7;F,99P) ⊂ AG(7;F,118P) [i] based on
- linear OOA(2206, 48, F2, 7, 137) (dual of [(48, 7), 130, 138]-NRT-code), using algebraic-geometric NRT-code AG(7;F,99P) 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(2168, 48, F2, 7, 99) (dual of [(48, 7), 168, 100]-NRT-code), using algebraic-geometric NRT-code AG(7;F,118P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(246, 12, F2, 7, 37) (dual of [(12, 7), 38, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,46P) [i] based on function field F/F2 with g(F) = 9 and N(F) ≥ 12, 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(2253, 60, F2, 7, 136) (dual of [(60, 7), 167, 137]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2255, 60, F2, 7, 136) (dual of [(60, 7), 165, 137]-NRT-code) | [i] | ||