Information on Result #2260828
Linear OA(2167, 227, F2, 53) (dual of [227, 60, 54]-code), using 2 times code embedding in larger space based on linear OA(2165, 225, F2, 53) (dual of [225, 60, 54]-code), using
- concatenation of two codes [i] based on
- linear OA(1630, 45, F16, 26) (dual of [45, 15, 27]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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
- linear OA(1630, 45, F16, 26) (dual of [45, 15, 27]-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
None.