Information on Result #676246

Linear OA(376, 2209, F3, 15) (dual of [2209, 2133, 16]-code), using construction XX applied to Ce(15) ⊂ Ce(12) ⊂ Ce(10) based on
  1. linear OA(371, 2187, F3, 16) (dual of [2187, 2116, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(350, 2187, F3, 11) (dual of [2187, 2137, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  4. linear OA(31, 18, F3, 1) (dual of [18, 17, 2]-code), using
  5. linear OA(31, 4, F3, 1) (dual of [4, 3, 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(376, 1591, F3, 2, 15) (dual of [(1591, 2), 3106, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(376, 1591, F3, 3, 15) (dual of [(1591, 3), 4697, 16]-NRT-code) [i]
3Linear OOA(376, 1591, F3, 4, 15) (dual of [(1591, 4), 6288, 16]-NRT-code) [i]
4Linear OOA(376, 1591, F3, 5, 15) (dual of [(1591, 5), 7879, 16]-NRT-code) [i]
5Digital (61, 76, 1591)-net over F3 [i]