Information on Result #2298655
Linear OA(2159, 199, F2, 58) (dual of [199, 40, 59]-code), using 1 times truncation based on linear OA(2160, 200, F2, 59) (dual of [200, 40, 60]-code), using
- concatenation of two codes [i] based on
- linear OA(1615, 25, F16, 14) (dual of [25, 10, 15]-code), using
- extended algebraic-geometric code AGe(F,10P) [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
- linear OA(1615, 25, F16, 14) (dual of [25, 10, 15]-code), 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(2161, 201, F2, 58) (dual of [201, 40, 59]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2162, 202, F2, 58) (dual of [202, 40, 59]-code) | [i] | ||
| 3 | Linear OA(2166, 207, F2, 58) (dual of [207, 41, 59]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OA(2170, 212, F2, 58) (dual of [212, 42, 59]-code) | [i] | ||