Information on Result #716054

Linear OA(8129, 567, F8, 42) (dual of [567, 438, 43]-code), using construction XX applied to C1 = C([503,27]), C2 = C([0,33]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([503,33]) based on
  1. linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,27}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(8109, 511, F8, 42) (dual of [511, 402, 43]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,33}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  4. linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
  5. linear OA(813, 34, F8, 7) (dual of [34, 21, 8]-code), using
  6. linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-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(8129, 283, F8, 2, 42) (dual of [(283, 2), 437, 43]-NRT-code) [i]OOA Folding