Information on Result #689768

Linear OA(969, 6581, F9, 18) (dual of [6581, 6512, 19]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
  1. linear OA(965, 6561, F9, 19) (dual of [6561, 6496, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(949, 6561, F9, 14) (dual of [6561, 6512, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(969, 3290, F9, 2, 18) (dual of [(3290, 2), 6511, 19]-NRT-code) [i]OOA Folding
2Linear OOA(969, 2193, F9, 3, 18) (dual of [(2193, 3), 6510, 19]-NRT-code) [i]