Information on Result #738493

Linear OA(3122, 129, F3, 80) (dual of [129, 7, 81]-code), using extended or lengthened BCH codes

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(3122, 129, F3, 79) (dual of [129, 7, 80]-code) [i]Strength Reduction
2Linear OA(3122, 129, F3, 78) (dual of [129, 7, 79]-code) [i]
3Linear OA(3123, 130, F3, 80) (dual of [130, 7, 81]-code) [i]Code Embedding in Larger Space
4Linear OA(3121, 128, F3, 79) (dual of [128, 7, 80]-code) [i]Truncation
5Linear OA(3120, 127, F3, 78) (dual of [127, 7, 79]-code) [i]
6Linear OA(3119, 126, F3, 77) (dual of [126, 7, 78]-code) [i]
7Linear OOA(3122, 43, F3, 3, 80) (dual of [(43, 3), 7, 81]-NRT-code) [i]OOA Folding