Information on Result #883333
Linear OOA(1628, 65, F16, 2, 22) (dual of [(65, 2), 102, 23]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,107P) 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(1628, 65, F16, 2, 21) (dual of [(65, 2), 102, 22]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(1630, 66, F16, 2, 22) (dual of [(66, 2), 102, 23]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(1639, 82, F16, 2, 22) (dual of [(82, 2), 125, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(1678, 130, F16, 2, 44) (dual of [(130, 2), 182, 45]-NRT-code) | [i] | ||
5 | Linear OOA(16116, 579, F16, 2, 44) (dual of [(579, 2), 1042, 45]-NRT-code) | [i] | ||
6 | Linear OOA(16118, 581, F16, 2, 44) (dual of [(581, 2), 1044, 45]-NRT-code) | [i] | ||
7 | Linear OOA(16120, 583, F16, 2, 44) (dual of [(583, 2), 1046, 45]-NRT-code) | [i] | ||
8 | Linear OOA(16122, 585, F16, 2, 44) (dual of [(585, 2), 1048, 45]-NRT-code) | [i] | ||
9 | Linear OOA(1679, 130, F16, 2, 45) (dual of [(130, 2), 181, 46]-NRT-code) | [i] | ||
10 | Linear OOA(16118, 579, F16, 2, 45) (dual of [(579, 2), 1040, 46]-NRT-code) | [i] | ||
11 | Linear OOA(16120, 581, F16, 2, 45) (dual of [(581, 2), 1042, 46]-NRT-code) | [i] | ||
12 | Linear OOA(16122, 583, F16, 2, 45) (dual of [(583, 2), 1044, 46]-NRT-code) | [i] | ||
13 | Linear OOA(16124, 585, F16, 2, 45) (dual of [(585, 2), 1046, 46]-NRT-code) | [i] | ||
14 | Linear OOA(16126, 587, F16, 2, 45) (dual of [(587, 2), 1048, 46]-NRT-code) | [i] | ||
15 | Linear OOA(1682, 132, F16, 2, 45) (dual of [(132, 2), 182, 46]-NRT-code) | [i] | ||
16 | Linear OOA(1683, 133, F16, 2, 45) (dual of [(133, 2), 183, 46]-NRT-code) | [i] |