Information on Result #2224653
Linear OA(2175, 215, F2, 62) (dual of [215, 40, 63]-code), using 1 times truncation based on linear OA(2176, 216, F2, 63) (dual of [216, 40, 64]-code), using
- concatenation of two codes [i] based on
- linear OA(1617, 27, F16, 15) (dual of [27, 10, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1617, 33, F16, 15) (dual of [33, 16, 16]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1617, 33, F16, 15) (dual of [33, 16, 16]-code), using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1617, 27, F16, 15) (dual of [27, 10, 16]-code), 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.
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(2177, 217, F2, 62) (dual of [217, 40, 63]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2178, 218, F2, 62) (dual of [218, 40, 63]-code) | [i] | ||
| 3 | Linear OOA(2175, 107, F2, 2, 62) (dual of [(107, 2), 39, 63]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2175, 71, F2, 3, 62) (dual of [(71, 3), 38, 63]-NRT-code) | [i] | ||