Information on Result #688137

Linear OA(825, 522, F8, 9) (dual of [522, 497, 10]-code), using construction X applied to Ce(8) ⊂ Ce(4) 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(813, 512, F8, 5) (dual of [512, 499, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
  3. linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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(825, 261, F8, 2, 9) (dual of [(261, 2), 497, 10]-NRT-code) [i]OOA Folding
2Linear OOA(825, 174, F8, 3, 9) (dual of [(174, 3), 497, 10]-NRT-code) [i]