Information on Result #610097

Linear OA(2251, 255, F2, 135) (dual of [255, 4, 136]-code), using repeating each code word 17 times based on linear OA(211, 15, F2, 7) (dual of [15, 4, 8]-code), 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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2251, 255, F2, 134) (dual of [255, 4, 135]-code) [i]Strength Reduction
2Linear OA(2251, 255, F2, 133) (dual of [255, 4, 134]-code) [i]
3Linear OA(2251, 255, F2, 132) (dual of [255, 4, 133]-code) [i]
4Linear OA(2251, 255, F2, 131) (dual of [255, 4, 132]-code) [i]
5Linear OA(2252, 256, F2, 135) (dual of [256, 4, 136]-code) [i]Code Embedding in Larger Space
6Linear OA(2253, 257, F2, 135) (dual of [257, 4, 136]-code) [i]
7Linear OA(2250, 254, F2, 134) (dual of [254, 4, 135]-code) [i]Truncation
8Linear OA(2249, 253, F2, 133) (dual of [253, 4, 134]-code) [i]
9Linear OA(2247, 251, F2, 131) (dual of [251, 4, 132]-code) [i]
10Linear OA(2246, 250, F2, 130) (dual of [250, 4, 131]-code) [i]
11Linear OA(2245, 249, F2, 129) (dual of [249, 4, 130]-code) [i]
12Linear OOA(2251, 85, F2, 3, 135) (dual of [(85, 3), 4, 136]-NRT-code) [i]OOA Folding
13Linear OOA(2251, 51, F2, 5, 135) (dual of [(51, 5), 4, 136]-NRT-code) [i]