Information on Result #718403

Linear OA(972, 84, F9, 54) (dual of [84, 12, 55]-code), using construction XX applied to C1 = C([79,51]), C2 = C([0,52]), C3 = C1 + C2 = C([0,51]), and C∩ = C1 ∩ C2 = C([79,52]) based on
  1. linear OA(970, 80, F9, 53) (dual of [80, 10, 54]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,…,51}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  2. linear OA(970, 80, F9, 53) (dual of [80, 10, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [i]
  3. linear OA(972, 80, F9, 54) (dual of [80, 8, 55]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,…,52}, and designed minimum distance d ≥ |I|+1 = 55 [i]
  4. linear OA(968, 80, F9, 52) (dual of [80, 12, 53]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [i]
  5. linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(90, 2, F9, 0) (dual of [2, 2, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(972, 42, F9, 2, 54) (dual of [(42, 2), 12, 55]-NRT-code) [i]OOA Folding