Information on Result #640970

Linear OA(3114, 121, F3, 72) (dual of [121, 7, 73]-code), using juxtaposition based on
  1. linear OA(333, 40, F3, 21) (dual of [40, 7, 22]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [0,19], and minimum distance d ≥ |{−1,0,…,19}|+1 = 22 (BCH-bound) [i]
    • the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
    • an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.