Information on Result #610043

Linear OA(2193, 196, F2, 111) (dual of [196, 3, 112]-code), using repeating each code word 28 times based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), 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(2193, 196, F2, 110) (dual of [196, 3, 111]-code) [i]Strength Reduction
2Linear OA(2193, 196, F2, 109) (dual of [196, 3, 110]-code) [i]
3Linear OA(2193, 196, F2, 108) (dual of [196, 3, 109]-code) [i]
4Linear OA(2193, 196, F2, 107) (dual of [196, 3, 108]-code) [i]
5Linear OA(2193, 196, F2, 106) (dual of [196, 3, 107]-code) [i]
6Linear OA(2193, 196, F2, 105) (dual of [196, 3, 106]-code) [i]
7Linear OA(2193, 196, F2, 104) (dual of [196, 3, 105]-code) [i]
8Linear OA(2194, 197, F2, 111) (dual of [197, 3, 112]-code) [i]Code Embedding in Larger Space
9Linear OA(2192, 195, F2, 110) (dual of [195, 3, 111]-code) [i]Truncation
10Linear OA(2191, 194, F2, 109) (dual of [194, 3, 110]-code) [i]
11Linear OA(2189, 192, F2, 107) (dual of [192, 3, 108]-code) [i]
12Linear OA(2188, 191, F2, 106) (dual of [191, 3, 107]-code) [i]
13Linear OA(2187, 190, F2, 105) (dual of [190, 3, 106]-code) [i]
14Linear OA(2185, 188, F2, 103) (dual of [188, 3, 104]-code) [i]
15Linear OA(2184, 187, F2, 102) (dual of [187, 3, 103]-code) [i]
16Linear OA(2182, 185, F2, 100) (dual of [185, 3, 101]-code) [i]
17Linear OA(2181, 184, F2, 99) (dual of [184, 3, 100]-code) [i]
18Linear OA(2180, 183, F2, 98) (dual of [183, 3, 99]-code) [i]
19Linear OA(2178, 181, F2, 96) (dual of [181, 3, 97]-code) [i]
20Linear OOA(2193, 98, F2, 2, 111) (dual of [(98, 2), 3, 112]-NRT-code) [i]OOA Folding
21Linear OOA(2193, 28, F2, 7, 111) (dual of [(28, 7), 3, 112]-NRT-code) [i]