Information on Result #716549

Linear OA(8159, 567, F8, 53) (dual of [567, 408, 54]-code), using construction XX applied to C1 = C([503,38]), C2 = C([0,44]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([503,44]) based on
  1. linear OA(8124, 511, F8, 47) (dual of [511, 387, 48]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,38}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  2. linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,44}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  4. linear OA(8103, 511, F8, 39) (dual of [511, 408, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [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(8159, 283, F8, 2, 53) (dual of [(283, 2), 407, 54]-NRT-code) [i]OOA Folding