Information on Result #883329
Linear OOA(1624, 65, F16, 2, 18) (dual of [(65, 2), 106, 19]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,111P) 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(1624, 65, F16, 2, 17) (dual of [(65, 2), 106, 18]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(1626, 66, F16, 2, 18) (dual of [(66, 2), 106, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(1696, 579, F16, 2, 36) (dual of [(579, 2), 1062, 37]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(1698, 581, F16, 2, 36) (dual of [(581, 2), 1064, 37]-NRT-code) | [i] | ||
5 | Linear OOA(16124, 2114, F16, 2, 36) (dual of [(2114, 2), 4104, 37]-NRT-code) | [i] | ||
6 | Linear OOA(16125, 2116, F16, 2, 36) (dual of [(2116, 2), 4107, 37]-NRT-code) | [i] | ||
7 | Linear OOA(16126, 2118, F16, 2, 36) (dual of [(2118, 2), 4110, 37]-NRT-code) | [i] | ||
8 | Linear OOA(16127, 2119, F16, 2, 36) (dual of [(2119, 2), 4111, 37]-NRT-code) | [i] | ||
9 | Linear OOA(1698, 579, F16, 2, 37) (dual of [(579, 2), 1060, 38]-NRT-code) | [i] | ||
10 | Linear OOA(16100, 581, F16, 2, 37) (dual of [(581, 2), 1062, 38]-NRT-code) | [i] | ||
11 | Linear OOA(16102, 583, F16, 2, 37) (dual of [(583, 2), 1064, 38]-NRT-code) | [i] | ||
12 | Linear OOA(16127, 2114, F16, 2, 37) (dual of [(2114, 2), 4101, 38]-NRT-code) | [i] | ||
13 | Linear OOA(16128, 2117, F16, 2, 37) (dual of [(2117, 2), 4106, 38]-NRT-code) | [i] | ||
14 | Linear OOA(16129, 2118, F16, 2, 37) (dual of [(2118, 2), 4107, 38]-NRT-code) | [i] | ||
15 | Linear OOA(16130, 2121, F16, 2, 37) (dual of [(2121, 2), 4112, 38]-NRT-code) | [i] |