Information on Result #664756
Linear OA(16101, 130, F16, 63) (dual of [130, 29, 64]-code), using (u, u+v)-construction based on
- linear OA(1637, 65, F16, 31) (dual of [65, 28, 32]-code), using
- extended algebraic-geometric code AGe(F,33P) [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,33P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1664, 65, F16, 63) (dual of [65, 1, 64]-code), using
- strength reduction [i] based on linear OA(1664, 65, F16, 64) (dual of [65, 1, 65]-code or 65-arc in PG(63,16)), using
- dual of repetition code with length 65 [i]
- strength reduction [i] based on linear OA(1664, 65, F16, 64) (dual of [65, 1, 65]-code or 65-arc in PG(63,16)), 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(16102, 131, F16, 63) (dual of [131, 29, 64]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(16100, 129, F16, 62) (dual of [129, 29, 63]-code) | [i] | Truncation | |
| 3 | Linear OA(1699, 128, F16, 61) (dual of [128, 29, 62]-code) | [i] | ||
| 4 | Linear OA(1698, 127, F16, 60) (dual of [127, 29, 61]-code) | [i] | ||
| 5 | Linear OOA(16101, 65, F16, 2, 63) (dual of [(65, 2), 29, 64]-NRT-code) | [i] | OOA Folding | |