Information on Result #737990

Linear OA(3217, 224, F3, 143) (dual of [224, 7, 144]-code), using repeating each code word 2 times based on linear OA(3105, 112, F3, 71) (dual of [112, 7, 72]-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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(3217, 224, F3, 142) (dual of [224, 7, 143]-code) [i]Strength Reduction
2Linear OA(3217, 224, F3, 141) (dual of [224, 7, 142]-code) [i]
3Linear OA(3217, 224, F3, 140) (dual of [224, 7, 141]-code) [i]
4Linear OA(3217, 224, F3, 139) (dual of [224, 7, 140]-code) [i]
5Linear OA(3217, 224, F3, 138) (dual of [224, 7, 139]-code) [i]
6Linear OA(3218, 225, F3, 143) (dual of [225, 7, 144]-code) [i]Code Embedding in Larger Space
7Linear OA(3219, 226, F3, 143) (dual of [226, 7, 144]-code) [i]
8Linear OA(3220, 227, F3, 143) (dual of [227, 7, 144]-code) [i]
9Linear OA(3216, 223, F3, 142) (dual of [223, 7, 143]-code) [i]Truncation
10Linear OA(3214, 221, F3, 140) (dual of [221, 7, 141]-code) [i]
11Linear OOA(3217, 112, F3, 2, 143) (dual of [(112, 2), 7, 144]-NRT-code) [i]OOA Folding