Information on Result #697391

Linear OA(3257, 1032, F32, 28) (dual of [1032, 975, 29]-code), using construction X applied to Ce(27) ⊂ Ce(24) based on
  1. linear OA(3255, 1024, F32, 28) (dual of [1024, 969, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(3249, 1024, F32, 25) (dual of [1024, 975, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,32)), 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 OOA(3257, 582, F32, 2, 28) (dual of [(582, 2), 1107, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (29, 57, 582)-net over F32 [i]
3Linear OOA(3257, 516, F32, 2, 28) (dual of [(516, 2), 975, 29]-NRT-code) [i]OOA Folding