Information on Result #676166

Linear OA(3201, 2207, F3, 42) (dual of [2207, 2006, 43]-code), using construction XX applied to Ce(42) ⊂ Ce(39) ⊂ Ce(37) based on
  1. linear OA(3197, 2187, F3, 43) (dual of [2187, 1990, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. linear OA(31, 17, F3, 1) (dual of [17, 16, 2]-code), using
  5. linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-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(3201, 1879, F3, 2, 42) (dual of [(1879, 2), 3557, 43]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3201, 1879, F3, 3, 42) (dual of [(1879, 3), 5436, 43]-NRT-code) [i]
3Linear OOA(3201, 1879, F3, 4, 42) (dual of [(1879, 4), 7315, 43]-NRT-code) [i]
4Linear OOA(3201, 1879, F3, 5, 42) (dual of [(1879, 5), 9194, 43]-NRT-code) [i]
5Digital (159, 201, 1879)-net over F3 [i]
6Linear OOA(3201, 1103, F3, 2, 42) (dual of [(1103, 2), 2005, 43]-NRT-code) [i]OOA Folding