Information on Result #1148703
Linear OOA(2107, 42, F2, 6, 53) (dual of [(42, 6), 145, 54]-NRT-code), using algebraic-geometric NRT-code AG(6;F,33P) 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(2107, 42, F2, 6, 52) (dual of [(42, 6), 145, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2107, 42, F2, 6, 51) (dual of [(42, 6), 145, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(2107, 42, F2, 6, 50) (dual of [(42, 6), 145, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(2107, 42, F2, 6, 49) (dual of [(42, 6), 145, 50]-NRT-code) | [i] | ||
| 5 | Linear OOA(2167, 72, F2, 6, 53) (dual of [(72, 6), 265, 54]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2169, 76, F2, 6, 53) (dual of [(76, 6), 287, 54]-NRT-code) | [i] | ||
| 7 | Linear OOA(2130, 45, F2, 6, 65) (dual of [(45, 6), 140, 66]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 8 | Linear OOA(2131, 46, F2, 6, 65) (dual of [(46, 6), 145, 66]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(2129, 45, F2, 6, 64) (dual of [(45, 6), 141, 65]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(2128, 45, F2, 6, 63) (dual of [(45, 6), 142, 64]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(2127, 45, F2, 6, 62) (dual of [(45, 6), 143, 63]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(2126, 45, F2, 6, 61) (dual of [(45, 6), 144, 62]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(2125, 45, F2, 6, 60) (dual of [(45, 6), 145, 61]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(2118, 45, F2, 6, 53) (dual of [(45, 6), 152, 54]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(2119, 46, F2, 6, 53) (dual of [(46, 6), 157, 54]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(2117, 45, F2, 6, 52) (dual of [(45, 6), 153, 53]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(2116, 45, F2, 6, 51) (dual of [(45, 6), 154, 52]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(2115, 45, F2, 6, 50) (dual of [(45, 6), 155, 51]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(2114, 45, F2, 6, 49) (dual of [(45, 6), 156, 50]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(2113, 45, F2, 6, 48) (dual of [(45, 6), 157, 49]-NRT-code) | [i] | ✔ | |