Information on Result #689753

Linear OA(9133, 6581, F9, 36) (dual of [6581, 6448, 37]-code), using construction X applied to Ce(36) ⊂ Ce(31) based on
  1. linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(9113, 6561, F9, 32) (dual of [6561, 6448, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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(9133, 3290, F9, 2, 36) (dual of [(3290, 2), 6447, 37]-NRT-code) [i]OOA Folding
2Linear OOA(9133, 2193, F9, 3, 36) (dual of [(2193, 3), 6446, 37]-NRT-code) [i]