Information on Result #662034

Linear OA(3129, 531452, F3, 15) (dual of [531452, 531323, 16]-code), using (u, u+v)-construction based on
  1. linear OA(39, 12, F3, 7) (dual of [12, 3, 8]-code), using
    • 1 times truncation [i] based on 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]
  2. linear OA(3120, 531440, F3, 15) (dual of [531440, 531320, 16]-code), using
    • 1 times truncation [i] based on linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using
      • an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]

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.

Other Results with Identical Parameters

None.

Depending Results

None.