Information on Result #1163000
Linear OOA(2142, 45, F2, 7, 77) (dual of [(45, 7), 173, 78]-NRT-code), using construction X applied to AG(7;F,36P) ⊂ AG(7;F,38P) based on
- linear OOA(2131, 42, F2, 7, 77) (dual of [(42, 7), 163, 78]-NRT-code), using algebraic-geometric NRT-code AG(7;F,36P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2119, 42, F2, 7, 65) (dual of [(42, 7), 175, 66]-NRT-code), using algebraic-geometric NRT-code AG(7;F,38P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(211, 3, F2, 7, 11) (dual of [(3, 7), 10, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;10,2) [i]
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(2142, 45, F2, 7, 76) (dual of [(45, 7), 173, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2142, 45, F2, 7, 75) (dual of [(45, 7), 173, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(2143, 45, F2, 7, 77) (dual of [(45, 7), 172, 78]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2144, 45, F2, 7, 77) (dual of [(45, 7), 171, 78]-NRT-code) | [i] | ||
| 5 | Linear OOA(2219, 78, F2, 7, 77) (dual of [(78, 7), 327, 78]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |