Information on Result #673141

Linear OA(2142, 1057, F2, 27) (dual of [1057, 915, 28]-code), using construction X applied to Ce(26) ⊂ Ce(20) based on
  1. linear OA(2131, 1024, F2, 27) (dual of [1024, 893, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(2101, 1024, F2, 21) (dual of [1024, 923, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(211, 33, F2, 5) (dual of [33, 22, 6]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 33 | 210−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [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.