Information on Result #709926

Linear OA(541, 131, F5, 17) (dual of [131, 90, 18]-code), using construction XX applied to C1 = C([16,31]), C2 = C([18,32]), C3 = C1 + C2 = C([18,31]), and C∩ = C1 ∩ C2 = C([16,32]) based on
  1. linear OA(537, 124, F5, 16) (dual of [124, 87, 17]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,31}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(537, 124, F5, 15) (dual of [124, 87, 16]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {18,19,…,32}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(540, 124, F5, 17) (dual of [124, 84, 18]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,32}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  4. linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {18,19,…,31}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  5. linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code), using
  6. linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-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(542, 134, F5, 17) (dual of [134, 92, 18]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OOA(541, 65, F5, 2, 17) (dual of [(65, 2), 89, 18]-NRT-code) [i]OOA Folding