Information on Result #629790

Linear OA(2153, 225, F2, 47) (dual of [225, 72, 48]-code), using concatenation of two codes based on
  1. linear OA(1627, 45, F16, 23) (dual of [45, 18, 24]-code), using
  2. linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-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:

ResultThis
result
only
Method
1Linear OA(2153, 225, F2, 46) (dual of [225, 72, 47]-code) [i]Strength Reduction
2Linear OA(2154, 226, F2, 47) (dual of [226, 72, 48]-code) [i]Code Embedding in Larger Space
3Linear OA(2155, 227, F2, 47) (dual of [227, 72, 48]-code) [i]
4Linear OA(2156, 228, F2, 47) (dual of [228, 72, 48]-code) [i]
5Linear OA(2152, 224, F2, 46) (dual of [224, 72, 47]-code) [i]Truncation
6Linear OOA(2153, 112, F2, 2, 47) (dual of [(112, 2), 71, 48]-NRT-code) [i]OOA Folding
7Linear OOA(2153, 75, F2, 3, 47) (dual of [(75, 3), 72, 48]-NRT-code) [i]