Information on Result #736507

Linear OA(536, 42, F5, 29) (dual of [42, 6, 30]-code), using a quasi-cyclic or quasi-twisted code by Daskalov and Gulliver

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(536, 42, F5, 28) (dual of [42, 6, 29]-code) [i]Strength Reduction
2Linear OA(536, 42, F5, 27) (dual of [42, 6, 28]-code) [i]
3Linear OA(536, 42, F5, 26) (dual of [42, 6, 27]-code) [i]
4Linear OA(537, 43, F5, 29) (dual of [43, 6, 30]-code) [i]Code Embedding in Larger Space
5Linear OA(538, 44, F5, 29) (dual of [44, 6, 30]-code) [i]
6Linear OA(535, 41, F5, 28) (dual of [41, 6, 29]-code) [i]Truncation
7Linear OA(534, 40, F5, 27) (dual of [40, 6, 28]-code) [i]
8Linear OA(533, 39, F5, 26) (dual of [39, 6, 27]-code) [i]
9Linear OA(532, 38, F5, 25) (dual of [38, 6, 26]-code) [i]
10Linear OA(531, 37, F5, 24) (dual of [37, 6, 25]-code) [i]
11Linear OA(530, 36, F5, 23) (dual of [36, 6, 24]-code) [i]
12Linear OA(528, 34, F5, 21) (dual of [34, 6, 22]-code) [i]
13Linear OA(527, 33, F5, 20) (dual of [33, 6, 21]-code) [i]
14Linear OA(526, 32, F5, 19) (dual of [32, 6, 20]-code) [i]
15Linear OOA(536, 21, F5, 2, 29) (dual of [(21, 2), 6, 30]-NRT-code) [i]OOA Folding
16Linear OOA(536, 14, F5, 3, 29) (dual of [(14, 3), 6, 30]-NRT-code) [i]