Information on Result #664754
Linear OA(16103, 131, F16, 65) (dual of [131, 28, 66]-code), using (u, u+v)-construction based on
- linear OA(1638, 65, F16, 32) (dual of [65, 27, 33]-code), using
- extended algebraic-geometric code AGe(F,32P) [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,32P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1665, 66, F16, 65) (dual of [66, 1, 66]-code or 66-arc in PG(64,16)), using
- dual of repetition code with length 66 [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 OA(16103, 131, F16, 64) (dual of [131, 28, 65]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16104, 132, F16, 65) (dual of [132, 28, 66]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(16102, 130, F16, 64) (dual of [130, 28, 65]-code) | [i] | Truncation | |