Information on Result #2295477

Linear OA(2100, 200, F2, 31) (dual of [200, 100, 32]-code), using adding a parity check bit based on linear OA(299, 199, F2, 30) (dual of [199, 100, 31]-code), using

Mode: 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(2100, 200, F2, 30) (dual of [200, 100, 31]-code) [i]Strength Reduction
2Linear OA(2100, 200, F2, 29) (dual of [200, 100, 30]-code) [i]
3Linear OA(2100, 200, F2, 28) (dual of [200, 100, 29]-code) [i]
4Linear OA(2101, 201, F2, 31) (dual of [201, 100, 32]-code) [i]Code Embedding in Larger Space
5Linear OA(2102, 202, F2, 31) (dual of [202, 100, 32]-code) [i]
6Linear OA(2103, 203, F2, 31) (dual of [203, 100, 32]-code) [i]
7Linear OA(2104, 204, F2, 31) (dual of [204, 100, 32]-code) [i]
8Linear OA(2105, 205, F2, 31) (dual of [205, 100, 32]-code) [i]
9Linear OA(2106, 206, F2, 31) (dual of [206, 100, 32]-code) [i]
10Linear OA(298, 198, F2, 29) (dual of [198, 100, 30]-code) [i]Truncation
11Linear OA(297, 197, F2, 28) (dual of [197, 100, 29]-code) [i]
12Linear OA(296, 196, F2, 27) (dual of [196, 100, 28]-code) [i]
13Linear OA(295, 195, F2, 26) (dual of [195, 100, 27]-code) [i]
14Linear OA(2109, 211, F2, 30) (dual of [211, 102, 31]-code) [i]Construction X with VarÅ¡amov Bound
15Linear OOA(2100, 100, F2, 2, 31) (dual of [(100, 2), 100, 32]-NRT-code) [i]OOA Folding