Information on Result #1162997
Linear OOA(2125, 42, F2, 7, 71) (dual of [(42, 7), 169, 72]-NRT-code), using algebraic-geometric NRT-code AG(7;F,37P) with degPÂ =Â 6 based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2125, 42, F2, 7, 70) (dual of [(42, 7), 169, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2125, 42, F2, 7, 69) (dual of [(42, 7), 169, 70]-NRT-code) | [i] | ||
| 3 | Linear OOA(2125, 42, F2, 7, 68) (dual of [(42, 7), 169, 69]-NRT-code) | [i] | ||
| 4 | Linear OOA(2125, 42, F2, 7, 67) (dual of [(42, 7), 169, 68]-NRT-code) | [i] | ||
| 5 | Linear OOA(2199, 75, F2, 7, 71) (dual of [(75, 7), 326, 72]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2205, 76, F2, 7, 71) (dual of [(76, 7), 327, 72]-NRT-code) | [i] | ||
| 7 | Linear OOA(2148, 45, F2, 7, 83) (dual of [(45, 7), 167, 84]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 8 | Linear OOA(2147, 45, F2, 7, 82) (dual of [(45, 7), 168, 83]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(2146, 45, F2, 7, 81) (dual of [(45, 7), 169, 82]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(2136, 45, F2, 7, 71) (dual of [(45, 7), 179, 72]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(2135, 45, F2, 7, 70) (dual of [(45, 7), 180, 71]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(2134, 45, F2, 7, 69) (dual of [(45, 7), 181, 70]-NRT-code) | [i] | ✔ | |