Information on Result #883323
Linear OOA(1618, 65, F16, 2, 12) (dual of [(65, 2), 112, 13]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,117P) 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(1618, 65, F16, 2, 11) (dual of [(65, 2), 112, 12]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(1620, 66, F16, 2, 12) (dual of [(66, 2), 112, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(1666, 579, F16, 2, 24) (dual of [(579, 2), 1092, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(1685, 2114, F16, 2, 24) (dual of [(2114, 2), 4143, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(16129, 524355, F16, 2, 24) (dual of [(524355, 2), 1048581, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(16130, 524358, F16, 2, 24) (dual of [(524358, 2), 1048586, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(1668, 579, F16, 2, 25) (dual of [(579, 2), 1090, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(1688, 2114, F16, 2, 25) (dual of [(2114, 2), 4140, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(1689, 2116, F16, 2, 25) (dual of [(2116, 2), 4143, 26]-NRT-code) | [i] | ||