Information on Result #719707

Linear OA(979, 752, F9, 27) (dual of [752, 673, 28]-code), using construction XX applied to C1 = C([723,20]), C2 = C([0,21]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([723,21]) based on
  1. linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,20}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,21}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  4. linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
  5. linear OA(96, 21, F9, 4) (dual of [21, 15, 5]-code), using
  6. linear OA(90, 3, F9, 0) (dual of [3, 3, 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(979, 376, F9, 2, 27) (dual of [(376, 2), 673, 28]-NRT-code) [i]OOA Folding