Information on Result #688804

Linear OA(842, 73, F8, 25) (dual of [73, 31, 26]-code), using construction X applied to Ce(26) ⊂ Ce(20) based on
  1. linear OA(839, 64, F8, 27) (dual of [64, 25, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(833, 64, F8, 21) (dual of [64, 31, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(83, 9, F8, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,8) or 9-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.

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(842, 36, F8, 2, 25) (dual of [(36, 2), 30, 26]-NRT-code) [i]OOA Folding