Information on Result #627684

Linear OA(314, 146, F3, 5) (dual of [146, 132, 6]-code), using trace code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-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(315, 147, F3, 5) (dual of [147, 132, 6]-code) [i]Code Embedding in Larger Space
2Linear OOA(314, 104, F3, 2, 5) (dual of [(104, 2), 194, 6]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(314, 104, F3, 3, 5) (dual of [(104, 3), 298, 6]-NRT-code) [i]
4Linear OOA(314, 104, F3, 4, 5) (dual of [(104, 4), 402, 6]-NRT-code) [i]
5Linear OA(315, 148, F3, 5) (dual of [148, 133, 6]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(314, 73, F3, 2, 5) (dual of [(73, 2), 132, 6]-NRT-code) [i]OOA Folding