Information on Result #688020

Linear OA(8129, 520, F8, 49) (dual of [520, 391, 50]-code), using construction X applied to Ce(48) ⊂ Ce(45) based on
  1. linear OA(8127, 512, F8, 49) (dual of [512, 385, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
  2. linear OA(8121, 512, F8, 46) (dual of [512, 391, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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(8129, 260, F8, 2, 49) (dual of [(260, 2), 391, 50]-NRT-code) [i]OOA Folding