Information on Result #883326
Linear OOA(1621, 65, F16, 2, 15) (dual of [(65, 2), 109, 16]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,114P) 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(1621, 65, F16, 2, 14) (dual of [(65, 2), 109, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(1623, 66, F16, 2, 15) (dual of [(66, 2), 109, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(1628, 82, F16, 2, 15) (dual of [(82, 2), 136, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(1681, 579, F16, 2, 30) (dual of [(579, 2), 1077, 31]-NRT-code) | [i] | ||
5 | Linear OOA(1683, 581, F16, 2, 30) (dual of [(581, 2), 1079, 31]-NRT-code) | [i] | ||
6 | Linear OOA(16106, 2114, F16, 2, 30) (dual of [(2114, 2), 4122, 31]-NRT-code) | [i] | ||
7 | Linear OOA(16107, 2116, F16, 2, 30) (dual of [(2116, 2), 4125, 31]-NRT-code) | [i] | ||
8 | Linear OOA(16108, 2118, F16, 2, 30) (dual of [(2118, 2), 4128, 31]-NRT-code) | [i] | ||
9 | Linear OOA(16109, 2120, F16, 2, 30) (dual of [(2120, 2), 4131, 31]-NRT-code) | [i] | ||
10 | Linear OOA(1658, 130, F16, 2, 31) (dual of [(130, 2), 202, 32]-NRT-code) | [i] | ||
11 | Linear OOA(1683, 579, F16, 2, 31) (dual of [(579, 2), 1075, 32]-NRT-code) | [i] | ||
12 | Linear OOA(1685, 581, F16, 2, 31) (dual of [(581, 2), 1077, 32]-NRT-code) | [i] | ||
13 | Linear OOA(1687, 583, F16, 2, 31) (dual of [(583, 2), 1079, 32]-NRT-code) | [i] | ||
14 | Linear OOA(16109, 2114, F16, 2, 31) (dual of [(2114, 2), 4119, 32]-NRT-code) | [i] | ||
15 | Linear OOA(16110, 2116, F16, 2, 31) (dual of [(2116, 2), 4122, 32]-NRT-code) | [i] | ||
16 | Linear OOA(16111, 2118, F16, 2, 31) (dual of [(2118, 2), 4125, 32]-NRT-code) | [i] | ||
17 | Linear OOA(16112, 2120, F16, 2, 31) (dual of [(2120, 2), 4128, 32]-NRT-code) | [i] | ||
18 | Linear OOA(16113, 2121, F16, 2, 31) (dual of [(2121, 2), 4129, 32]-NRT-code) | [i] |