Information on Result #634504

Linear OA(454, 68, F4, 32) (dual of [68, 14, 33]-code), using concatenation of two codes based on
  1. linear OA(1610, 17, F16, 10) (dual of [17, 7, 11]-code or 17-arc in PG(9,16)), using
  2. linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), 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(454, 68, F4, 31) (dual of [68, 14, 32]-code) [i]Strength Reduction
2Linear OA(455, 69, F4, 32) (dual of [69, 14, 33]-code) [i]Code Embedding in Larger Space
3Linear OA(456, 70, F4, 32) (dual of [70, 14, 33]-code) [i]
4Linear OA(453, 67, F4, 31) (dual of [67, 14, 32]-code) [i]Truncation
5Linear OA(460, 77, F4, 32) (dual of [77, 17, 33]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(454, 34, F4, 2, 32) (dual of [(34, 2), 14, 33]-NRT-code) [i]OOA Folding
7Linear OOA(454, 22, F4, 3, 32) (dual of [(22, 3), 12, 33]-NRT-code) [i]