Information on Result #640971

Linear OA(3195, 202, F3, 123) (dual of [202, 7, 124]-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(3155, 162, F3, 101) (dual of [162, 7, 102]-code), using
    • construction X applied to C([0,99]) ⊂ C([1,99]) [i] based on
      1. linear OA(3154, 160, F3, 101) (dual of [160, 6, 102]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,99], and minimum distance d ≥ |{−1,0,…,99}|+1 = 102 (BCH-bound) [i]
      2. linear OA(3153, 160, F3, 99) (dual of [160, 7, 100]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [i]
      3. linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), 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

None.