Information on Result #689754

Linear OA(9129, 6581, F9, 35) (dual of [6581, 6452, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) based on
  1. linear OA(9125, 6561, F9, 35) (dual of [6561, 6436, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(9109, 6561, F9, 31) (dual of [6561, 6452, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-cap 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(9129, 3290, F9, 2, 35) (dual of [(3290, 2), 6451, 36]-NRT-code) [i]OOA Folding
2Linear OOA(9129, 2193, F9, 3, 35) (dual of [(2193, 3), 6450, 36]-NRT-code) [i]