Information on Result #693001

Linear OA(16107, 281, F16, 56) (dual of [281, 174, 57]-code), using construction XX applied to Ce(55) ⊂ Ce(45) ⊂ Ce(44) based on
  1. linear OA(1696, 256, F16, 56) (dual of [256, 160, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
  2. linear OA(1683, 256, F16, 46) (dual of [256, 173, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(1681, 256, F16, 45) (dual of [256, 175, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
  4. linear OA(1610, 24, F16, 9) (dual of [24, 14, 10]-code), using
  5. linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-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.