Information on Result #691162

Linear OA(951, 91, F9, 31) (dual of [91, 40, 32]-code), using construction X applied to Ce(30) ⊂ Ce(24) based on
  1. linear OA(946, 81, F9, 31) (dual of [81, 35, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(941, 81, F9, 25) (dual of [81, 40, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(95, 10, F9, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,9)), 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 OA(952, 92, F9, 31) (dual of [92, 40, 32]-code) [i]Code Embedding in Larger Space
2Linear OOA(951, 45, F9, 2, 31) (dual of [(45, 2), 39, 32]-NRT-code) [i]OOA Folding