Information on Result #688144

Linear OA(8164, 528, F8, 61) (dual of [528, 364, 62]-code), using construction X applied to Ce(60) ⊂ Ce(56) 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(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), 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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(8164, 264, F8, 2, 61) (dual of [(264, 2), 364, 62]-NRT-code) [i]OOA Folding