Information on Result #737006

Linear OA(3239, 6614, F3, 42) (dual of [6614, 6375, 43]-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(314, 53, F3, 6) (dual of [53, 39, 7]-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(3239, 5402, F3, 2, 42) (dual of [(5402, 2), 10565, 43]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3239, 5402, F3, 3, 42) (dual of [(5402, 3), 15967, 43]-NRT-code) [i]
3Linear OOA(3239, 5402, F3, 4, 42) (dual of [(5402, 4), 21369, 43]-NRT-code) [i]
4Linear OOA(3239, 5402, F3, 5, 42) (dual of [(5402, 5), 26771, 43]-NRT-code) [i]
5Digital (197, 239, 5402)-net over F3 [i]
6Linear OOA(3239, 3307, F3, 2, 42) (dual of [(3307, 2), 6375, 43]-NRT-code) [i]OOA Folding
7Linear OOA(3239, 2204, F3, 3, 42) (dual of [(2204, 3), 6373, 43]-NRT-code) [i]
8Linear OOA(3239, 1653, F3, 4, 42) (dual of [(1653, 4), 6373, 43]-NRT-code) [i]
9Linear OOA(3239, 1322, F3, 5, 42) (dual of [(1322, 5), 6371, 43]-NRT-code) [i]