Information on Result #720735

Linear OA(9124, 752, F9, 44) (dual of [752, 628, 45]-code), using construction XX applied to C1 = C([723,37]), C2 = C([0,38]), C3 = C1 + C2 = C([0,37]), and C∩ = C1 ∩ C2 = C([723,38]) based on
  1. linear OA(9115, 728, F9, 43) (dual of [728, 613, 44]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,37}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(9103, 728, F9, 39) (dual of [728, 625, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(9118, 728, F9, 44) (dual of [728, 610, 45]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,38}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  4. linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [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(9124, 376, F9, 2, 44) (dual of [(376, 2), 628, 45]-NRT-code) [i]OOA Folding