Information on Result #679184

Linear OA(4224, 16432, F4, 41) (dual of [16432, 16208, 42]-code), using construction X applied to Ce(40) ⊂ Ce(33) based on
  1. linear OA(4211, 16384, F4, 41) (dual of [16384, 16173, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(4176, 16384, F4, 34) (dual of [16384, 16208, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(4225, 16433, F4, 41) (dual of [16433, 16208, 42]-code) [i]Code Embedding in Larger Space
2Linear OA(4226, 16434, F4, 41) (dual of [16434, 16208, 42]-code) [i]
3Linear OA(4223, 16431, F4, 40) (dual of [16431, 16208, 41]-code) [i]Truncation
4Linear OOA(4224, 14187, F4, 2, 41) (dual of [(14187, 2), 28150, 42]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4224, 14187, F4, 3, 41) (dual of [(14187, 3), 42337, 42]-NRT-code) [i]
6Digital (183, 224, 14187)-net over F4 [i]
7Linear OA(4226, 16435, F4, 41) (dual of [16435, 16209, 42]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OOA(4224, 8216, F4, 2, 41) (dual of [(8216, 2), 16208, 42]-NRT-code) [i]OOA Folding
9Linear OOA(4224, 5477, F4, 3, 41) (dual of [(5477, 3), 16207, 42]-NRT-code) [i]