Information on Result #688808

Linear OA(833, 73, F8, 19) (dual of [73, 40, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
  1. linear OA(829, 64, F8, 19) (dual of [64, 35, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(824, 64, F8, 14) (dual of [64, 40, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(84, 9, F8, 4) (dual of [9, 5, 5]-code or 9-arc 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(833, 36, F8, 2, 19) (dual of [(36, 2), 39, 20]-NRT-code) [i]OOA Folding