Information on Result #691157

Linear OA(960, 91, F9, 38) (dual of [91, 31, 39]-code), using construction X applied to Ce(39) ⊂ Ce(32) based on
  1. linear OA(956, 81, F9, 40) (dual of [81, 25, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. linear OA(950, 81, F9, 33) (dual of [81, 31, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(94, 10, F9, 4) (dual of [10, 6, 5]-code or 10-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 OA(959, 90, F9, 37) (dual of [90, 31, 38]-code) [i]Truncation
2Linear OOA(960, 45, F9, 2, 38) (dual of [(45, 2), 30, 39]-NRT-code) [i]OOA Folding