Information on Result #661962

Linear OA(343, 52, F3, 25) (dual of [52, 9, 26]-code), using (u, u+v)-construction based on
  1. linear OA(318, 26, F3, 12) (dual of [26, 8, 13]-code), using
    • 2 times truncation [i] based on linear OA(320, 28, F3, 14) (dual of [28, 8, 15]-code), using
      • contraction [i] based on linear OA(348, 56, F3, 29) (dual of [56, 8, 30]-code), using the BCH-code C(I) with length 56 | 36−1, defining interval I = {0,1,…,28}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(325, 26, F3, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), 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(342, 51, F3, 24) (dual of [51, 9, 25]-code) [i]Truncation
2Linear OOA(343, 26, F3, 2, 25) (dual of [(26, 2), 9, 26]-NRT-code) [i]OOA Folding