Information on Result #688049

Linear OA(824, 520, F8, 9) (dual of [520, 496, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
  1. linear OA(822, 512, F8, 9) (dual of [512, 490, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(816, 512, F8, 6) (dual of [512, 496, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(824, 260, F8, 2, 9) (dual of [(260, 2), 496, 10]-NRT-code) [i]OOA Folding
2Linear OOA(824, 173, F8, 3, 9) (dual of [(173, 3), 495, 10]-NRT-code) [i]