Information on Result #883362
Linear OOA(1657, 65, F16, 2, 51) (dual of [(65, 2), 73, 52]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,78P) 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(1657, 65, F16, 2, 50) (dual of [(65, 2), 73, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(1659, 66, F16, 2, 51) (dual of [(66, 2), 73, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(1682, 82, F16, 2, 51) (dual of [(82, 2), 82, 52]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(1683, 89, F16, 2, 51) (dual of [(89, 2), 95, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(1684, 98, F16, 2, 51) (dual of [(98, 2), 112, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(1685, 103, F16, 2, 51) (dual of [(103, 2), 121, 52]-NRT-code) | [i] | ||
| 7 | Linear OOA(1686, 110, F16, 2, 51) (dual of [(110, 2), 134, 52]-NRT-code) | [i] | ||
| 8 | Linear OOA(1688, 130, F16, 2, 51) (dual of [(130, 2), 172, 52]-NRT-code) | [i] | ||
| 9 | Linear OOA(4244, 195, F4, 2, 103) (dual of [(195, 2), 146, 104]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |