Information on Result #674437

Linear OA(3140, 1594371, F3, 16) (dual of [1594371, 1594231, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
  1. linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(392, 1594323, F3, 11) (dual of [1594323, 1594231, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(39, 48, F3, 4) (dual of [48, 39, 5]-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 OA(3139, 1594370, F3, 15) (dual of [1594370, 1594231, 16]-code) [i]Truncation
2Linear OOA(3140, 797185, F3, 2, 16) (dual of [(797185, 2), 1594230, 17]-NRT-code) [i]OOA Folding
3Linear OOA(3140, 531457, F3, 3, 16) (dual of [(531457, 3), 1594231, 17]-NRT-code) [i]
4Linear OOA(3140, 398592, F3, 4, 16) (dual of [(398592, 4), 1594228, 17]-NRT-code) [i]
5Linear OOA(3140, 318874, F3, 5, 16) (dual of [(318874, 5), 1594230, 17]-NRT-code) [i]
6Linear OOA(3140, 199296, F3, 16, 16) (dual of [(199296, 16), 3188596, 17]-NRT-code) [i]OA Folding and Stacking