Information on Result #1178160
Linear OOA(2131, 42, F2, 8, 77) (dual of [(42, 8), 205, 78]-NRT-code), using algebraic-geometric NRT-code AG(8;F,43P) 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, 8, 76) (dual of [(42, 8), 205, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2131, 42, F2, 8, 75) (dual of [(42, 8), 205, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(2131, 42, F2, 8, 74) (dual of [(42, 8), 205, 75]-NRT-code) | [i] | ||
| 4 | Linear OOA(2131, 42, F2, 8, 73) (dual of [(42, 8), 205, 74]-NRT-code) | [i] | ||
| 5 | Linear OOA(2208, 75, F2, 8, 77) (dual of [(75, 8), 392, 78]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2214, 76, F2, 8, 77) (dual of [(76, 8), 394, 78]-NRT-code) | [i] | ||
| 7 | Linear OOA(2217, 77, F2, 8, 77) (dual of [(77, 8), 399, 78]-NRT-code) | [i] | ||
| 8 | Linear OOA(2154, 44, F2, 8, 89) (dual of [(44, 8), 198, 90]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 9 | Linear OOA(2153, 44, F2, 8, 88) (dual of [(44, 8), 199, 89]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(2152, 44, F2, 8, 87) (dual of [(44, 8), 200, 88]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(2151, 44, F2, 8, 86) (dual of [(44, 8), 201, 87]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(2150, 44, F2, 8, 85) (dual of [(44, 8), 202, 86]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(2149, 44, F2, 8, 84) (dual of [(44, 8), 203, 85]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(2142, 44, F2, 8, 77) (dual of [(44, 8), 210, 78]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(2141, 44, F2, 8, 76) (dual of [(44, 8), 211, 77]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(2140, 44, F2, 8, 75) (dual of [(44, 8), 212, 76]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(2139, 44, F2, 8, 74) (dual of [(44, 8), 213, 75]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(2138, 44, F2, 8, 73) (dual of [(44, 8), 214, 74]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(2137, 44, F2, 8, 72) (dual of [(44, 8), 215, 73]-NRT-code) | [i] | ✔ | |