Information on Result #661901

Linear OA(3202, 6579, F3, 35) (dual of [6579, 6377, 36]-code), using (u, u+v)-construction based on
  1. linear OA(317, 18, F3, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,3)), using
  2. linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using
    • an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(3202, 5270, F3, 2, 35) (dual of [(5270, 2), 10338, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3202, 5270, F3, 3, 35) (dual of [(5270, 3), 15608, 36]-NRT-code) [i]
3Linear OOA(3202, 5270, F3, 4, 35) (dual of [(5270, 4), 20878, 36]-NRT-code) [i]
4Linear OOA(3202, 5270, F3, 5, 35) (dual of [(5270, 5), 26148, 36]-NRT-code) [i]
5Digital (167, 202, 5270)-net over F3 [i]