Information on Result #1288579
Linear OA(2156, 200, F2, 55) (dual of [200, 44, 56]-code), using concatenation of two codes based on
- linear OA(1614, 25, F16, 13) (dual of [25, 11, 14]-code), using
- extended algebraic-geometric code AGe(F,11P) [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(2156, 200, F2, 54) (dual of [200, 44, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2157, 201, F2, 55) (dual of [201, 44, 56]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2158, 202, F2, 55) (dual of [202, 44, 56]-code) | [i] | ||
| 4 | Linear OA(2155, 199, F2, 54) (dual of [199, 44, 55]-code) | [i] | Truncation | |
| 5 | Linear OA(2154, 198, F2, 53) (dual of [198, 44, 54]-code) | [i] | ||