Information on Result #716420

Linear OA(8140, 554, F8, 48) (dual of [554, 414, 49]-code), using construction XX applied to C1 = C([505,36]), C2 = C([0,41]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([505,41]) based on
  1. linear OA(8115, 511, F8, 43) (dual of [511, 396, 44]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,36}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(8109, 511, F8, 42) (dual of [511, 402, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(8127, 511, F8, 48) (dual of [511, 384, 49]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,41}, and designed minimum distance d ≥ |I|+1 = 49 [i]
  4. linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [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(8140, 277, F8, 2, 48) (dual of [(277, 2), 414, 49]-NRT-code) [i]OOA Folding