Information on Result #691215

Linear OA(927, 91, F9, 14) (dual of [91, 64, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
  1. linear OA(924, 81, F9, 14) (dual of [81, 57, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(917, 81, F9, 10) (dual of [81, 64, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), 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 OOA(927, 45, F9, 2, 14) (dual of [(45, 2), 63, 15]-NRT-code) [i]OOA Folding