Information on Result #662173

Linear OA(4133, 65549, F4, 20) (dual of [65549, 65416, 21]-code), using (u, u−v, u+v+w)-construction based on
  1. linear OA(46, 7, F4, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,4)), using
  2. linear OA(47, 7, F4, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,4)), using
  3. linear OA(4120, 65535, F4, 20) (dual of [65535, 65415, 21]-code), using
    • 1 times truncation [i] based on linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using
      • an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4133, 65467, F4, 2, 20) (dual of [(65467, 2), 130801, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4133, 65467, F4, 3, 20) (dual of [(65467, 3), 196268, 21]-NRT-code) [i]
3Digital (113, 133, 65467)-net over F4 [i]