Information on Result #2913769
Linear OOA(2222, 60, F2, 6, 112) (dual of [(60, 6), 138, 113]-NRT-code), using strength reduction based on linear OOA(2222, 60, F2, 6, 113) (dual of [(60, 6), 138, 114]-NRT-code), using
- construction X applied to AG(6;F,87P) ⊂ AG(6;F,103P) [i] based on
- linear OOA(2182, 48, F2, 6, 113) (dual of [(48, 6), 106, 114]-NRT-code), using algebraic-geometric NRT-code AG(6;F,87P) 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(2150, 48, F2, 6, 81) (dual of [(48, 6), 138, 82]-NRT-code), using algebraic-geometric NRT-code AG(6;F,103P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(240, 12, F2, 6, 31) (dual of [(12, 6), 32, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,40P) [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(2223, 60, F2, 6, 112) (dual of [(60, 6), 137, 113]-NRT-code) | [i] | OOA Duplication | |