Information on Result #691477

Linear OA(938, 92, F9, 21) (dual of [92, 54, 22]-code), using construction XX applied to Ce(20) ⊂ Ce(15) ⊂ Ce(14) 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(926, 81, F9, 15) (dual of [81, 55, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  4. linear OA(94, 10, F9, 4) (dual of [10, 6, 5]-code or 10-arc in PG(3,9)), using
  5. linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), 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(938, 46, F9, 2, 21) (dual of [(46, 2), 54, 22]-NRT-code) [i]OOA Folding