Information on Result #2954419
Linear OOA(2242, 60, F2, 7, 126) (dual of [(60, 7), 178, 127]-NRT-code), using strength reduction based on linear OOA(2242, 60, F2, 7, 127) (dual of [(60, 7), 178, 128]-NRT-code), using
- construction X applied to AG(7;F,104P) ⊂ AG(7;F,123P) [i] based on
- linear OOA(2196, 48, F2, 7, 127) (dual of [(48, 7), 140, 128]-NRT-code), using algebraic-geometric NRT-code AG(7;F,104P) 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(2158, 48, F2, 7, 89) (dual of [(48, 7), 178, 90]-NRT-code), using algebraic-geometric NRT-code AG(7;F,123P) 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(2243, 60, F2, 7, 126) (dual of [(60, 7), 177, 127]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2245, 60, F2, 7, 126) (dual of [(60, 7), 175, 127]-NRT-code) | [i] | ||