Information on Result #688511

Linear OA(8153, 530, F8, 56) (dual of [530, 377, 57]-code), using construction XX applied to Ce(56) ⊂ Ce(51) ⊂ Ce(50) based on
  1. linear OA(8148, 512, F8, 57) (dual of [512, 364, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
  2. linear OA(8136, 512, F8, 52) (dual of [512, 376, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
  3. linear OA(8133, 512, F8, 51) (dual of [512, 379, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
  4. linear OA(84, 17, F8, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,8)), using
  5. linear OA(80, 1, F8, 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.