Information on Result #709944

Linear OA(556, 146, F5, 21) (dual of [146, 90, 22]-code), using construction XX applied to C1 = C([119,13]), C2 = C([0,15]), C3 = C1 + C2 = C([0,13]), and C∩ = C1 ∩ C2 = C([119,15]) based on
  1. linear OA(546, 124, F5, 19) (dual of [124, 78, 20]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,13}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(537, 124, F5, 16) (dual of [124, 87, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(549, 124, F5, 21) (dual of [124, 75, 22]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,15}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  4. linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
  5. linear OA(56, 18, F5, 4) (dual of [18, 12, 5]-code), using
  6. linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-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 OA(555, 145, F5, 20) (dual of [145, 90, 21]-code) [i]Truncation
2Linear OOA(556, 73, F5, 2, 21) (dual of [(73, 2), 90, 22]-NRT-code) [i]OOA Folding