Information on Result #718764

Linear OA(9130, 370, F9, 54) (dual of [370, 240, 55]-code), using construction XX applied to C1 = C([363,51]), C2 = C([0,52]), C3 = C1 + C2 = C([0,51]), and C∩ = C1 ∩ C2 = C([363,52]) based on
  1. linear OA(9127, 364, F9, 53) (dual of [364, 237, 54]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−1,0,…,51}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  2. linear OA(9127, 364, F9, 53) (dual of [364, 237, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [i]
  3. linear OA(9130, 364, F9, 54) (dual of [364, 234, 55]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−1,0,…,52}, and designed minimum distance d ≥ |I|+1 = 55 [i]
  4. linear OA(9124, 364, F9, 52) (dual of [364, 240, 53]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [i]
  5. linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
  6. linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code) (see above)

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(9130, 185, F9, 2, 54) (dual of [(185, 2), 240, 55]-NRT-code) [i]OOA Folding