Information on Result #661848

Linear OA(329, 38, F3, 17) (dual of [38, 9, 18]-code), using (u, u−v, u+v+w)-construction based on
  1. linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
  2. linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
    • Simplex code S(3,3) [i]
    • the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
  3. linear OA(313, 13, F3, 13) (dual of [13, 0, 14]-code or 13-arc in PG(12,3)), 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(328, 37, F3, 16) (dual of [37, 9, 17]-code) [i]Truncation