Information on Result #736453

Linear OA(444, 55, F4, 28) (dual of [55, 11, 29]-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(444, 55, F4, 27) (dual of [55, 11, 28]-code) [i]Strength Reduction
2Linear OA(445, 56, F4, 28) (dual of [56, 11, 29]-code) [i]Code Embedding in Larger Space
3Linear OA(443, 54, F4, 27) (dual of [54, 11, 28]-code) [i]Truncation
4Linear OA(442, 53, F4, 26) (dual of [53, 11, 27]-code) [i]
5Linear OA(441, 52, F4, 25) (dual of [52, 11, 26]-code) [i]
6Linear OOA(2198, 110, F2, 2, 86) (dual of [(110, 2), 22, 87]-NRT-code) [i]Concatenation of Two NRT-Codes
7Linear OOA(2196, 108, F2, 2, 86) (dual of [(108, 2), 20, 87]-NRT-code) [i]
8Linear OOA(2194, 106, F2, 2, 86) (dual of [(106, 2), 18, 87]-NRT-code) [i]
9Linear OOA(444, 27, F4, 2, 28) (dual of [(27, 2), 10, 29]-NRT-code) [i]OOA Folding
10Linear OOA(444, 18, F4, 3, 28) (dual of [(18, 3), 10, 29]-NRT-code) [i]