Information on Result #691170

Linear OA(937, 90, F9, 21) (dual of [90, 53, 22]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
  1. linear OA(933, 81, F9, 21) (dual of [81, 48, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(928, 81, F9, 16) (dual of [81, 53, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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(937, 45, F9, 2, 21) (dual of [(45, 2), 53, 22]-NRT-code) [i]OOA Folding