Information on Result #679192

Linear OA(4182, 16432, F4, 33) (dual of [16432, 16250, 34]-code), using construction X applied to Ce(32) ⊂ Ce(25) based on
  1. linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(413, 48, F4, 6) (dual of [48, 35, 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 OA(4183, 16433, F4, 33) (dual of [16433, 16250, 34]-code) [i]Code Embedding in Larger Space
2Linear OA(4184, 16434, F4, 33) (dual of [16434, 16250, 34]-code) [i]
3Linear OA(4181, 16431, F4, 32) (dual of [16431, 16250, 33]-code) [i]Truncation
4Linear OOA(4182, 13532, F4, 2, 33) (dual of [(13532, 2), 26882, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4182, 13532, F4, 3, 33) (dual of [(13532, 3), 40414, 34]-NRT-code) [i]
6Digital (149, 182, 13532)-net over F4 [i]
7Linear OA(4184, 16435, F4, 33) (dual of [16435, 16251, 34]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OOA(4182, 8216, F4, 2, 33) (dual of [(8216, 2), 16250, 34]-NRT-code) [i]OOA Folding
9Linear OOA(4182, 5477, F4, 3, 33) (dual of [(5477, 3), 16249, 34]-NRT-code) [i]