Information on Result #664759
Linear OA(1697, 130, F16, 59) (dual of [130, 33, 60]-code), using (u, u+v)-construction based on
- linear OA(1635, 65, F16, 29) (dual of [65, 30, 30]-code), using
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1662, 65, F16, 59) (dual of [65, 3, 60]-code), using
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 OA(1697, 130, F16, 58) (dual of [130, 33, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1698, 131, F16, 59) (dual of [131, 33, 60]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(1696, 129, F16, 58) (dual of [129, 33, 59]-code) | [i] | Truncation | |
| 4 | Linear OA(1695, 128, F16, 57) (dual of [128, 33, 58]-code) | [i] | ||
| 5 | Linear OA(1694, 127, F16, 56) (dual of [127, 33, 57]-code) | [i] | ||
| 6 | Linear OOA(1697, 65, F16, 2, 59) (dual of [(65, 2), 33, 60]-NRT-code) | [i] | OOA Folding | |