Information on Result #676050

Linear OA(378, 2214, F3, 16) (dual of [2214, 2136, 17]-code), using construction X applied to Ce(15) ⊂ 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(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]
  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(378, 1260, F3, 2, 16) (dual of [(1260, 2), 2442, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(378, 1260, F3, 3, 16) (dual of [(1260, 3), 3702, 17]-NRT-code) [i]
3Linear OOA(378, 1260, F3, 4, 16) (dual of [(1260, 4), 4962, 17]-NRT-code) [i]
4Linear OOA(378, 1260, F3, 5, 16) (dual of [(1260, 5), 6222, 17]-NRT-code) [i]
5Digital (62, 78, 1260)-net over F3 [i]
6Linear OOA(378, 1107, F3, 2, 16) (dual of [(1107, 2), 2136, 17]-NRT-code) [i]OOA Folding
7Linear OOA(378, 738, F3, 3, 16) (dual of [(738, 3), 2136, 17]-NRT-code) [i]
8Linear OOA(378, 553, F3, 4, 16) (dual of [(553, 4), 2134, 17]-NRT-code) [i]
9Linear OOA(378, 442, F3, 5, 16) (dual of [(442, 5), 2132, 17]-NRT-code) [i]