Information on Result #661836

Linear OA(391, 96, F3, 62) (dual of [96, 5, 63]-code), using (u, u−v, u+v+w)-construction based on
  1. linear OA(328, 32, F3, 20) (dual of [32, 4, 21]-code), using
  2. linear OA(331, 32, F3, 31) (dual of [32, 1, 32]-code or 32-arc in PG(30,3)), using
  3. linear OA(332, 32, F3, 32) (dual of [32, 0, 33]-code or 32-arc in PG(31,3)), 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(391, 96, F3, 61) (dual of [96, 5, 62]-code) [i]Strength Reduction
2Linear OA(390, 95, F3, 61) (dual of [95, 5, 62]-code) [i]Truncation
3Linear OA(389, 94, F3, 60) (dual of [94, 5, 61]-code) [i]
4Linear OOA(391, 48, F3, 2, 62) (dual of [(48, 2), 5, 63]-NRT-code) [i]OOA Folding
5Linear OOA(391, 32, F3, 3, 62) (dual of [(32, 3), 5, 63]-NRT-code) [i]
6Linear OOA(391, 19, F3, 5, 62) (dual of [(19, 5), 4, 63]-NRT-code) [i]