Information on Result #715683

Linear OA(898, 554, F8, 32) (dual of [554, 456, 33]-code), using construction XX applied to C1 = C([505,20]), C2 = C([0,25]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([505,25]) based on
  1. linear OA(873, 511, F8, 27) (dual of [511, 438, 28]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,20}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(885, 511, F8, 32) (dual of [511, 426, 33]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,25}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  4. linear OA(855, 511, F8, 21) (dual of [511, 456, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [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(898, 277, F8, 2, 32) (dual of [(277, 2), 456, 33]-NRT-code) [i]OOA Folding