Information on Result #675595

Linear OA(3242, 6618, F3, 43) (dual of [6618, 6376, 44]-code), using construction X applied to Ce(42) ⊂ Ce(34) based on
  1. linear OA(3225, 6561, F3, 43) (dual of [6561, 6336, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  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]
  3. linear OA(317, 57, F3, 7) (dual of [57, 40, 8]-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 OOA(3242, 5106, F3, 2, 43) (dual of [(5106, 2), 9970, 44]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3242, 5106, F3, 3, 43) (dual of [(5106, 3), 15076, 44]-NRT-code) [i]
3Linear OOA(3242, 5106, F3, 4, 43) (dual of [(5106, 4), 20182, 44]-NRT-code) [i]
4Linear OOA(3242, 5106, F3, 5, 43) (dual of [(5106, 5), 25288, 44]-NRT-code) [i]
5Digital (199, 242, 5106)-net over F3 [i]
6Linear OOA(3242, 3309, F3, 2, 43) (dual of [(3309, 2), 6376, 44]-NRT-code) [i]OOA Folding
7Linear OOA(3242, 2206, F3, 3, 43) (dual of [(2206, 3), 6376, 44]-NRT-code) [i]