Information on Result #693007

Linear OA(16101, 281, F16, 53) (dual of [281, 180, 54]-code), using construction XX applied to Ce(52) ⊂ Ce(42) ⊂ Ce(41) based on
  1. linear OA(1690, 256, F16, 53) (dual of [256, 166, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
  2. linear OA(1677, 256, F16, 43) (dual of [256, 179, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(1675, 256, F16, 42) (dual of [256, 181, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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.