Information on Result #675511

Linear OA(3232, 6588, F3, 43) (dual of [6588, 6356, 44]-code), using construction X applied to Ce(42) ⊂ Ce(37) 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(3201, 6561, F3, 38) (dual of [6561, 6360, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
    • an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(3232, 3897, F3, 2, 43) (dual of [(3897, 2), 7562, 44]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3232, 3897, F3, 3, 43) (dual of [(3897, 3), 11459, 44]-NRT-code) [i]
3Linear OOA(3232, 3897, F3, 4, 43) (dual of [(3897, 4), 15356, 44]-NRT-code) [i]
4Linear OOA(3232, 3897, F3, 5, 43) (dual of [(3897, 5), 19253, 44]-NRT-code) [i]
5Digital (189, 232, 3897)-net over F3 [i]
6Linear OOA(3232, 3294, F3, 2, 43) (dual of [(3294, 2), 6356, 44]-NRT-code) [i]OOA Folding
7Linear OOA(3232, 2196, F3, 3, 43) (dual of [(2196, 3), 6356, 44]-NRT-code) [i]
8Linear OOA(3232, 1647, F3, 4, 43) (dual of [(1647, 4), 6356, 44]-NRT-code) [i]
9Linear OOA(3232, 1317, F3, 5, 43) (dual of [(1317, 5), 6353, 44]-NRT-code) [i]