Information on Result #736576

Linear OA(2150, 170, F2, 65) (dual of [170, 20, 66]-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(2150, 170, F2, 64) (dual of [170, 20, 65]-code) [i]Strength Reduction
2Linear OA(2150, 170, F2, 63) (dual of [170, 20, 64]-code) [i]
3Linear OA(2151, 171, F2, 65) (dual of [171, 20, 66]-code) [i]Code Embedding in Larger Space
4Linear OA(2152, 172, F2, 65) (dual of [172, 20, 66]-code) [i]
5Linear OA(2153, 173, F2, 65) (dual of [173, 20, 66]-code) [i]
6Linear OA(2157, 177, F2, 65) (dual of [177, 20, 66]-code) [i]
7Linear OA(2149, 169, F2, 64) (dual of [169, 20, 65]-code) [i]Truncation
8Linear OA(2147, 167, F2, 62) (dual of [167, 20, 63]-code) [i]
9Linear OOA(2150, 85, F2, 2, 65) (dual of [(85, 2), 20, 66]-NRT-code) [i]OOA Folding
10Linear OOA(2150, 56, F2, 3, 65) (dual of [(56, 3), 18, 66]-NRT-code) [i]
11Linear OOA(2150, 34, F2, 5, 65) (dual of [(34, 5), 20, 66]-NRT-code) [i]