Information on Result #883325
Linear OOA(1620, 65, F16, 2, 14) (dual of [(65, 2), 110, 15]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,115P) 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(1620, 65, F16, 2, 13) (dual of [(65, 2), 110, 14]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(1622, 66, F16, 2, 14) (dual of [(66, 2), 110, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(1676, 579, F16, 2, 28) (dual of [(579, 2), 1082, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(1678, 581, F16, 2, 28) (dual of [(581, 2), 1084, 29]-NRT-code) | [i] | ||
5 | Linear OOA(1699, 2114, F16, 2, 28) (dual of [(2114, 2), 4129, 29]-NRT-code) | [i] | ||
6 | Linear OOA(16100, 2116, F16, 2, 28) (dual of [(2116, 2), 4132, 29]-NRT-code) | [i] | ||
7 | Linear OOA(16101, 2118, F16, 2, 28) (dual of [(2118, 2), 4135, 29]-NRT-code) | [i] | ||
8 | Linear OOA(16130, 65603, F16, 2, 28) (dual of [(65603, 2), 131076, 29]-NRT-code) | [i] | ||
9 | Linear OOA(1678, 579, F16, 2, 29) (dual of [(579, 2), 1080, 30]-NRT-code) | [i] | ||
10 | Linear OOA(1680, 581, F16, 2, 29) (dual of [(581, 2), 1082, 30]-NRT-code) | [i] | ||
11 | Linear OOA(16102, 2114, F16, 2, 29) (dual of [(2114, 2), 4126, 30]-NRT-code) | [i] | ||
12 | Linear OOA(16103, 2116, F16, 2, 29) (dual of [(2116, 2), 4129, 30]-NRT-code) | [i] | ||
13 | Linear OOA(16104, 2118, F16, 2, 29) (dual of [(2118, 2), 4132, 30]-NRT-code) | [i] | ||
14 | Linear OOA(16105, 2120, F16, 2, 29) (dual of [(2120, 2), 4135, 30]-NRT-code) | [i] |