Information on Result #1127217
Linear OOA(2131, 42, F2, 5, 77) (dual of [(42, 5), 79, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,22P) 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(2131, 42, F2, 5, 76) (dual of [(42, 5), 79, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2131, 42, F2, 5, 75) (dual of [(42, 5), 79, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(2131, 42, F2, 5, 74) (dual of [(42, 5), 79, 75]-NRT-code) | [i] | ||
| 4 | Linear OOA(2131, 42, F2, 5, 73) (dual of [(42, 5), 79, 74]-NRT-code) | [i] | ||
| 5 | Linear OOA(2208, 75, F2, 5, 77) (dual of [(75, 5), 167, 78]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2217, 77, F2, 5, 77) (dual of [(77, 5), 168, 78]-NRT-code) | [i] | ||
| 7 | Linear OOA(2215, 77, F2, 5, 77) (dual of [(77, 5), 170, 78]-NRT-code) | [i] | ||
| 8 | Linear OOA(2218, 78, F2, 5, 77) (dual of [(78, 5), 172, 78]-NRT-code) | [i] | ||
| 9 | Linear OOA(2142, 44, F2, 5, 83) (dual of [(44, 5), 78, 84]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 10 | Linear OOA(2141, 44, F2, 5, 82) (dual of [(44, 5), 79, 83]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(2136, 44, F2, 5, 77) (dual of [(44, 5), 84, 78]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(2135, 44, F2, 5, 76) (dual of [(44, 5), 85, 77]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(2155, 46, F2, 5, 89) (dual of [(46, 5), 75, 90]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(2154, 46, F2, 5, 88) (dual of [(46, 5), 76, 89]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(2153, 46, F2, 5, 87) (dual of [(46, 5), 77, 88]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(2152, 46, F2, 5, 86) (dual of [(46, 5), 78, 87]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(2151, 46, F2, 5, 85) (dual of [(46, 5), 79, 86]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(2143, 46, F2, 5, 77) (dual of [(46, 5), 87, 78]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(2142, 46, F2, 5, 76) (dual of [(46, 5), 88, 77]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(2141, 46, F2, 5, 75) (dual of [(46, 5), 89, 76]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(2140, 46, F2, 5, 74) (dual of [(46, 5), 90, 75]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(2139, 46, F2, 5, 73) (dual of [(46, 5), 91, 74]-NRT-code) | [i] | ✔ | |