Information on Result #1163253
Linear OOA(2257, 54, F2, 7, 165) (dual of [(54, 7), 121, 166]-NRT-code), using construction X applied to AG(7;F,85P) ⊂ AG(7;F,96P) based on
- linear OOA(2234, 48, F2, 7, 165) (dual of [(48, 7), 102, 166]-NRT-code), using algebraic-geometric NRT-code AG(7;F,85P) 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(2212, 48, F2, 7, 143) (dual of [(48, 7), 124, 144]-NRT-code), using algebraic-geometric NRT-code AG(7;F,96P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(223, 6, F2, 7, 21) (dual of [(6, 7), 19, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,20P) [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(2257, 54, F2, 7, 164) (dual of [(54, 7), 121, 165]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 54, F2, 7, 163) (dual of [(54, 7), 121, 164]-NRT-code) | [i] | ||