Information on Result #736608

Linear OA(2222, 234, F2, 111) (dual of [234, 12, 112]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva

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(2222, 234, F2, 110) (dual of [234, 12, 111]-code) [i]Strength Reduction
2Linear OA(2222, 234, F2, 109) (dual of [234, 12, 110]-code) [i]
3Linear OA(2222, 234, F2, 108) (dual of [234, 12, 109]-code) [i]
4Linear OA(2223, 235, F2, 111) (dual of [235, 12, 112]-code) [i]Code Embedding in Larger Space
5Linear OA(2224, 236, F2, 111) (dual of [236, 12, 112]-code) [i]
6Linear OA(2225, 237, F2, 111) (dual of [237, 12, 112]-code) [i]
7Linear OA(2226, 238, F2, 111) (dual of [238, 12, 112]-code) [i]
8Linear OA(2227, 239, F2, 111) (dual of [239, 12, 112]-code) [i]
9Linear OA(2229, 241, F2, 111) (dual of [241, 12, 112]-code) [i]
10Linear OA(2230, 242, F2, 111) (dual of [242, 12, 112]-code) [i]
11Linear OA(2221, 233, F2, 110) (dual of [233, 12, 111]-code) [i]Truncation
12Linear OA(2220, 232, F2, 109) (dual of [232, 12, 110]-code) [i]
13Linear OA(2219, 231, F2, 108) (dual of [231, 12, 109]-code) [i]
14Linear OA(2218, 230, F2, 107) (dual of [230, 12, 108]-code) [i]
15Linear OA(2217, 229, F2, 106) (dual of [229, 12, 107]-code) [i]
16Linear OA(2216, 228, F2, 105) (dual of [228, 12, 106]-code) [i]
17Linear OA(2215, 227, F2, 104) (dual of [227, 12, 105]-code) [i]
18Linear OA(2214, 226, F2, 103) (dual of [226, 12, 104]-code) [i]
19Linear OA(2111, 122, F2, 55) (dual of [122, 11, 56]-code) [i]Residual Code
20Linear OOA(2222, 117, F2, 2, 111) (dual of [(117, 2), 12, 112]-NRT-code) [i]OOA Folding
21Linear OOA(2222, 78, F2, 3, 111) (dual of [(78, 3), 12, 112]-NRT-code) [i]