Information on Result #629846
Linear OA(2185, 325, F2, 49) (dual of [325, 140, 50]-code), using concatenation of two codes based on
- linear OA(1630, 65, F16, 24) (dual of [65, 35, 25]-code), using
- extended algebraic-geometric code AGe(F,40P) [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,40P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2185, 325, F2, 48) (dual of [325, 140, 49]-code) | [i] | Strength Reduction | |
2 | Linear OA(2186, 326, F2, 49) (dual of [326, 140, 50]-code) | [i] | Code Embedding in Larger Space | |
3 | Linear OA(2187, 327, F2, 49) (dual of [327, 140, 50]-code) | [i] | ||
4 | Linear OA(2188, 328, F2, 49) (dual of [328, 140, 50]-code) | [i] | ||
5 | Linear OA(2189, 329, F2, 49) (dual of [329, 140, 50]-code) | [i] | ||
6 | Linear OA(2190, 330, F2, 49) (dual of [330, 140, 50]-code) | [i] | ||
7 | Linear OA(2184, 324, F2, 48) (dual of [324, 140, 49]-code) | [i] | Truncation | |
8 | Linear OOA(2185, 162, F2, 2, 49) (dual of [(162, 2), 139, 50]-NRT-code) | [i] | OOA Folding | |
9 | Linear OOA(2185, 108, F2, 3, 49) (dual of [(108, 3), 139, 50]-NRT-code) | [i] |