Information on Result #638107

Linear OA(5109, 125, F5, 71) (dual of [125, 16, 72]-code), using concatenation of two codes based on
  1. linear OA(2517, 25, F25, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,25)), using
  2. linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), 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(5109, 125, F5, 70) (dual of [125, 16, 71]-code) [i]Strength Reduction
2Linear OA(5108, 124, F5, 70) (dual of [124, 16, 71]-code) [i]Truncation
3Linear OA(5107, 123, F5, 69) (dual of [123, 16, 70]-code) [i]
4Linear OOA(5109, 62, F5, 2, 71) (dual of [(62, 2), 15, 72]-NRT-code) [i]OOA Folding