Information on Result #716005

Linear OA(8116, 554, F8, 39) (dual of [554, 438, 40]-code), using construction XX applied to C1 = C([505,27]), C2 = C([0,32]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([505,32]) based on
  1. linear OA(891, 511, F8, 34) (dual of [511, 420, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,27}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(885, 511, F8, 33) (dual of [511, 426, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(8103, 511, F8, 39) (dual of [511, 408, 40]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,32}, and designed minimum distance d ≥ |I|+1 = 40 [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(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
  6. linear OA(86, 18, F8, 4) (dual of [18, 12, 5]-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(8116, 277, F8, 2, 39) (dual of [(277, 2), 438, 40]-NRT-code) [i]OOA Folding