Information on Result #673784

Linear OA(2189, 270, F2, 57) (dual of [270, 81, 58]-code), using construction XX applied to Ce(58) ⊂ Ce(54) ⊂ Ce(52) based on
  1. linear OA(2185, 256, F2, 59) (dual of [256, 71, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
  2. linear OA(2177, 256, F2, 55) (dual of [256, 79, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
  3. linear OA(2169, 256, F2, 53) (dual of [256, 87, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
  4. linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
  5. linear OA(21, 3, F2, 1) (dual of [3, 2, 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.

Other Results with Identical Parameters

None.

Depending Results

None.