Information on Result #669924

Linear OA(6439, 4161, F64, 16) (dual of [4161, 4122, 17]-code), using (u, u+v)-construction based on
  1. linear OA(648, 65, F64, 8) (dual of [65, 57, 9]-code or 65-arc in PG(7,64)), using
  2. linear OA(6431, 4096, F64, 16) (dual of [4096, 4065, 17]-code), using
    • an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]

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(6439, 1387, F64, 3, 16) (dual of [(1387, 3), 4122, 17]-NRT-code) [i]OOA Folding