Information on Result #736286

Linear OA(4160, 165, F4, 121) (dual of [165, 5, 122]-code), using an explicit generator matrix

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(4160, 165, F4, 120) (dual of [165, 5, 121]-code) [i]Strength Reduction
2Linear OA(4160, 165, F4, 119) (dual of [165, 5, 120]-code) [i]
3Linear OA(4160, 165, F4, 118) (dual of [165, 5, 119]-code) [i]
4Linear OA(4160, 165, F4, 117) (dual of [165, 5, 118]-code) [i]
5Linear OA(4161, 166, F4, 121) (dual of [166, 5, 122]-code) [i]Code Embedding in Larger Space
6Linear OA(4162, 167, F4, 121) (dual of [167, 5, 122]-code) [i]
7Linear OA(4163, 168, F4, 121) (dual of [168, 5, 122]-code) [i]
8Linear OA(4159, 164, F4, 120) (dual of [164, 5, 121]-code) [i]Truncation
9Linear OA(4158, 163, F4, 119) (dual of [163, 5, 120]-code) [i]
10Linear OA(4157, 162, F4, 118) (dual of [162, 5, 119]-code) [i]
11Linear OA(4156, 161, F4, 117) (dual of [161, 5, 118]-code) [i]
12Linear OA(4155, 160, F4, 116) (dual of [160, 5, 117]-code) [i]
13Linear OOA(4160, 82, F4, 2, 121) (dual of [(82, 2), 4, 122]-NRT-code) [i]OOA Folding
14Linear OOA(4160, 55, F4, 3, 121) (dual of [(55, 3), 5, 122]-NRT-code) [i]