Information on Result #1147049
Linear OOA(2189, 45, F2, 6, 123) (dual of [(45, 6), 81, 124]-NRT-code), using construction X applied to AG(6;F,122P) ⊂ AG(6;F,134P) based on
- linear OOA(2177, 41, F2, 6, 123) (dual of [(41, 6), 69, 124]-NRT-code), using algebraic-geometric NRT-code AG(6;F,122P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2165, 41, F2, 6, 111) (dual of [(41, 6), 81, 112]-NRT-code), using algebraic-geometric NRT-code AG(6;F,134P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(212, 4, F2, 6, 11) (dual of [(4, 6), 12, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(212, 5, F2, 5, 11) (dual of [(5, 5), 13, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,13P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- OOA stacking with additional row [i] based on linear OOA(212, 5, F2, 5, 11) (dual of [(5, 5), 13, 12]-NRT-code), 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(2189, 45, F2, 6, 122) (dual of [(45, 6), 81, 123]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2189, 45, F2, 6, 121) (dual of [(45, 6), 81, 122]-NRT-code) | [i] | ||