Information on Result #883361
Linear OOA(1656, 65, F16, 2, 50) (dual of [(65, 2), 74, 51]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,79P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [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(1656, 65, F16, 2, 49) (dual of [(65, 2), 74, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(1658, 66, F16, 2, 50) (dual of [(66, 2), 74, 51]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(1681, 82, F16, 2, 50) (dual of [(82, 2), 83, 51]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(1682, 89, F16, 2, 50) (dual of [(89, 2), 96, 51]-NRT-code) | [i] | ||
5 | Linear OOA(1683, 98, F16, 2, 50) (dual of [(98, 2), 113, 51]-NRT-code) | [i] | ||
6 | Linear OOA(1684, 103, F16, 2, 50) (dual of [(103, 2), 122, 51]-NRT-code) | [i] | ||
7 | Linear OOA(1685, 110, F16, 2, 50) (dual of [(110, 2), 135, 51]-NRT-code) | [i] | ||
8 | Linear OOA(1687, 130, F16, 2, 50) (dual of [(130, 2), 173, 51]-NRT-code) | [i] | ||
9 | Linear OOA(4242, 195, F4, 2, 101) (dual of [(195, 2), 148, 102]-NRT-code) | [i] | Concatenation of Two NRT-Codes |