Information on Result #1163599
Linear OOA(2186, 57, F2, 7, 83) (dual of [(57, 7), 213, 84]-NRT-code), using construction X applied to AG(7;F,126P) ⊂ AG(7;F,141P) based on
- linear OOA(2152, 48, F2, 7, 83) (dual of [(48, 7), 184, 84]-NRT-code), using algebraic-geometric NRT-code AG(7;F,126P) 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(2122, 48, F2, 7, 53) (dual of [(48, 7), 214, 54]-NRT-code), using algebraic-geometric NRT-code AG(7;F,141P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(234, 9, F2, 7, 29) (dual of [(9, 7), 29, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,33P) [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, 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(2186, 57, F2, 7, 82) (dual of [(57, 7), 213, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2186, 57, F2, 7, 81) (dual of [(57, 7), 213, 82]-NRT-code) | [i] | ||