Information on Result #883327
Linear OOA(1622, 65, F16, 2, 16) (dual of [(65, 2), 108, 17]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,113P) 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(1622, 65, F16, 2, 15) (dual of [(65, 2), 108, 16]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(1624, 66, F16, 2, 16) (dual of [(66, 2), 108, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(1660, 130, F16, 2, 32) (dual of [(130, 2), 200, 33]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(1686, 579, F16, 2, 32) (dual of [(579, 2), 1072, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(1688, 581, F16, 2, 32) (dual of [(581, 2), 1074, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(16112, 2113, F16, 2, 32) (dual of [(2113, 2), 4114, 33]-NRT-code) | [i] | ||
| 7 | Linear OOA(16113, 2114, F16, 2, 32) (dual of [(2114, 2), 4115, 33]-NRT-code) | [i] | ||
| 8 | Linear OOA(16114, 2116, F16, 2, 32) (dual of [(2116, 2), 4118, 33]-NRT-code) | [i] | ||
| 9 | Linear OOA(16115, 2118, F16, 2, 32) (dual of [(2118, 2), 4121, 33]-NRT-code) | [i] | ||
| 10 | Linear OOA(16116, 2120, F16, 2, 32) (dual of [(2120, 2), 4124, 33]-NRT-code) | [i] | ||
| 11 | Linear OOA(1661, 130, F16, 2, 33) (dual of [(130, 2), 199, 34]-NRT-code) | [i] | ||
| 12 | Linear OOA(1688, 579, F16, 2, 33) (dual of [(579, 2), 1070, 34]-NRT-code) | [i] | ||
| 13 | Linear OOA(1690, 581, F16, 2, 33) (dual of [(581, 2), 1072, 34]-NRT-code) | [i] | ||
| 14 | Linear OOA(16113, 2113, F16, 2, 33) (dual of [(2113, 2), 4113, 34]-NRT-code) | [i] | ||
| 15 | Linear OOA(16114, 2115, F16, 2, 33) (dual of [(2115, 2), 4116, 34]-NRT-code) | [i] | ||
| 16 | Linear OOA(16115, 2117, F16, 2, 33) (dual of [(2117, 2), 4119, 34]-NRT-code) | [i] | ||
| 17 | Linear OOA(16116, 2119, F16, 2, 33) (dual of [(2119, 2), 4122, 34]-NRT-code) | [i] | ||
| 18 | Linear OOA(16117, 2121, F16, 2, 33) (dual of [(2121, 2), 4125, 34]-NRT-code) | [i] | ||