Information on Result #883324
Linear OOA(1619, 65, F16, 2, 13) (dual of [(65, 2), 111, 14]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,116P) 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(1619, 65, F16, 2, 12) (dual of [(65, 2), 111, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(1621, 66, F16, 2, 13) (dual of [(66, 2), 111, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(1671, 579, F16, 2, 26) (dual of [(579, 2), 1087, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(1692, 2114, F16, 2, 26) (dual of [(2114, 2), 4136, 27]-NRT-code) | [i] | ||
5 | Linear OOA(1693, 2116, F16, 2, 26) (dual of [(2116, 2), 4139, 27]-NRT-code) | [i] | ||
6 | Linear OOA(1673, 579, F16, 2, 27) (dual of [(579, 2), 1085, 28]-NRT-code) | [i] | ||
7 | Linear OOA(1675, 581, F16, 2, 27) (dual of [(581, 2), 1087, 28]-NRT-code) | [i] | ||
8 | Linear OOA(1695, 2114, F16, 2, 27) (dual of [(2114, 2), 4133, 28]-NRT-code) | [i] | ||
9 | Linear OOA(1696, 2116, F16, 2, 27) (dual of [(2116, 2), 4136, 28]-NRT-code) | [i] | ||
10 | Linear OOA(1697, 2118, F16, 2, 27) (dual of [(2118, 2), 4139, 28]-NRT-code) | [i] | ||
11 | Linear OOA(16125, 65603, F16, 2, 27) (dual of [(65603, 2), 131081, 28]-NRT-code) | [i] |