Information on Result #1163207
Linear OOA(2197, 53, F2, 7, 110) (dual of [(53, 7), 174, 111]-NRT-code), using construction X applied to AG(7;F,112P) ⊂ AG(7;F,121P) based on
- linear OOA(2180, 48, F2, 7, 111) (dual of [(48, 7), 156, 112]-NRT-code), using algebraic-geometric NRT-code AG(7;F,112P) 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(2162, 48, F2, 7, 93) (dual of [(48, 7), 174, 94]-NRT-code), using algebraic-geometric NRT-code AG(7;F,121P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(217, 5, F2, 7, 16) (dual of [(5, 7), 18, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,18P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2197, 53, F2, 7, 109) (dual of [(53, 7), 174, 110]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2197, 53, F2, 7, 108) (dual of [(53, 7), 174, 109]-NRT-code) | [i] | ||