Information on Result #883321
Linear OOA(1616, 65, F16, 2, 10) (dual of [(65, 2), 114, 11]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,119P) 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(1616, 65, F16, 2, 9) (dual of [(65, 2), 114, 10]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(1618, 66, F16, 2, 10) (dual of [(66, 2), 114, 11]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(16107, 524355, F16, 2, 20) (dual of [(524355, 2), 1048603, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(16108, 524358, F16, 2, 20) (dual of [(524358, 2), 1048608, 21]-NRT-code) | [i] | ||
5 | Linear OOA(16112, 524355, F16, 2, 21) (dual of [(524355, 2), 1048598, 22]-NRT-code) | [i] | ||
6 | Linear OOA(16113, 524358, F16, 2, 21) (dual of [(524358, 2), 1048603, 22]-NRT-code) | [i] | ||
7 | Linear OOA(16114, 524361, F16, 2, 21) (dual of [(524361, 2), 1048608, 22]-NRT-code) | [i] |