Information on Result #1163336
Linear OOA(2174, 54, F2, 7, 82) (dual of [(54, 7), 204, 83]-NRT-code), using construction X applied to AG(7;F,126P) ⊂ AG(7;F,137P) 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(2130, 48, F2, 7, 61) (dual of [(48, 7), 206, 62]-NRT-code), using algebraic-geometric NRT-code AG(7;F,137P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(222, 6, F2, 7, 20) (dual of [(6, 7), 20, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,21P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2174, 54, F2, 7, 81) (dual of [(54, 7), 204, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2174, 54, F2, 7, 80) (dual of [(54, 7), 204, 81]-NRT-code) | [i] | ||