Information on Result #688490

Linear OA(8166, 531, F8, 61) (dual of [531, 365, 62]-code), using construction XX applied to Ce(60) ⊂ Ce(56) ⊂ Ce(54) based on
  1. linear OA(8160, 512, F8, 61) (dual of [512, 352, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
  2. 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]
  3. linear OA(8145, 512, F8, 55) (dual of [512, 367, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [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(81, 2, F8, 1) (dual of [2, 1, 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.