Information on Result #736584

Linear OA(2187, 210, F2, 79) (dual of [210, 23, 80]-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(2187, 210, F2, 78) (dual of [210, 23, 79]-code) [i]Strength Reduction
2Linear OA(2187, 210, F2, 77) (dual of [210, 23, 78]-code) [i]
3Linear OA(2187, 210, F2, 76) (dual of [210, 23, 77]-code) [i]
4Linear OA(2188, 211, F2, 79) (dual of [211, 23, 80]-code) [i]Code Embedding in Larger Space
5Linear OA(2189, 212, F2, 79) (dual of [212, 23, 80]-code) [i]
6Linear OA(2190, 213, F2, 79) (dual of [213, 23, 80]-code) [i]
7Linear OA(2191, 214, F2, 79) (dual of [214, 23, 80]-code) [i]
8Linear OA(2186, 209, F2, 78) (dual of [209, 23, 79]-code) [i]Truncation
9Linear OA(2185, 208, F2, 77) (dual of [208, 23, 78]-code) [i]
10Linear OA(2184, 207, F2, 76) (dual of [207, 23, 77]-code) [i]
11Linear OA(2183, 206, F2, 75) (dual of [206, 23, 76]-code) [i]
12Linear OA(2182, 205, F2, 74) (dual of [205, 23, 75]-code) [i]
13Linear OA(2181, 204, F2, 73) (dual of [204, 23, 74]-code) [i]
14Linear OA(2180, 203, F2, 72) (dual of [203, 23, 73]-code) [i]
15Linear OOA(2187, 105, F2, 2, 79) (dual of [(105, 2), 23, 80]-NRT-code) [i]OOA Folding
16Linear OOA(2187, 70, F2, 3, 79) (dual of [(70, 3), 23, 80]-NRT-code) [i]