Information on Result #2954600
Linear OOA(2244, 60, F2, 7, 128) (dual of [(60, 7), 176, 129]-NRT-code), using strength reduction based on linear OOA(2244, 60, F2, 7, 129) (dual of [(60, 7), 176, 130]-NRT-code), using
- construction X applied to AG(7;F,103P) ⊂ AG(7;F,122P) [i] based on
- linear OOA(2198, 48, F2, 7, 129) (dual of [(48, 7), 138, 130]-NRT-code), using algebraic-geometric NRT-code AG(7;F,103P) 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(2160, 48, F2, 7, 91) (dual of [(48, 7), 176, 92]-NRT-code), using algebraic-geometric NRT-code AG(7;F,122P) 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(2245, 60, F2, 7, 128) (dual of [(60, 7), 175, 129]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2247, 60, F2, 7, 128) (dual of [(60, 7), 173, 129]-NRT-code) | [i] | ||