Information on Result #688136

Linear OA(829, 525, F8, 10) (dual of [525, 496, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
  1. linear OA(825, 512, F8, 10) (dual of [512, 487, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-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(829, 175, F8, 3, 10) (dual of [(175, 3), 496, 11]-NRT-code) [i]OOA Folding