Information on Result #883348
Linear OOA(1643, 65, F16, 2, 37) (dual of [(65, 2), 87, 38]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,92P) 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(1643, 65, F16, 2, 36) (dual of [(65, 2), 87, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(1645, 66, F16, 2, 37) (dual of [(66, 2), 87, 38]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(1661, 82, F16, 2, 37) (dual of [(82, 2), 103, 38]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(1662, 89, F16, 2, 37) (dual of [(89, 2), 116, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(1663, 98, F16, 2, 37) (dual of [(98, 2), 133, 38]-NRT-code) | [i] | ||
| 6 | Linear OOA(1664, 103, F16, 2, 37) (dual of [(103, 2), 142, 38]-NRT-code) | [i] | ||
| 7 | Linear OOA(4216, 195, F4, 2, 75) (dual of [(195, 2), 174, 76]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |