Information on Result #689853

Linear OA(9110, 6579, F9, 30) (dual of [6579, 6469, 31]-code), using construction XX applied to Ce(29) ⊂ Ce(25) ⊂ Ce(24) based on
  1. linear OA(9105, 6561, F9, 30) (dual of [6561, 6456, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(993, 6561, F9, 26) (dual of [6561, 6468, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(989, 6561, F9, 25) (dual of [6561, 6472, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  4. linear OA(94, 17, F9, 3) (dual of [17, 13, 4]-code or 17-cap 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(9110, 2193, F9, 3, 30) (dual of [(2193, 3), 6469, 31]-NRT-code) [i]OOA Folding