Information on Result #1288581
Linear OA(2164, 200, F2, 63) (dual of [200, 36, 64]-code), using concatenation of two codes based on
- linear OA(1616, 25, F16, 15) (dual of [25, 9, 16]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 25, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
Mode: 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2164, 200, F2, 62) (dual of [200, 36, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2164, 200, F2, 61) (dual of [200, 36, 62]-code) | [i] | ||
| 3 | Linear OA(2164, 200, F2, 60) (dual of [200, 36, 61]-code) | [i] | ||
| 4 | Linear OA(2165, 201, F2, 63) (dual of [201, 36, 64]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2166, 202, F2, 63) (dual of [202, 36, 64]-code) | [i] | ||
| 6 | Linear OA(2167, 203, F2, 63) (dual of [203, 36, 64]-code) | [i] | ||
| 7 | Linear OA(2168, 204, F2, 63) (dual of [204, 36, 64]-code) | [i] | ||
| 8 | Linear OA(2169, 205, F2, 63) (dual of [205, 36, 64]-code) | [i] | ||
| 9 | Linear OA(2170, 206, F2, 63) (dual of [206, 36, 64]-code) | [i] | ||
| 10 | Linear OA(2163, 199, F2, 62) (dual of [199, 36, 63]-code) | [i] | Truncation | |
| 11 | Linear OA(2162, 198, F2, 61) (dual of [198, 36, 62]-code) | [i] | ||