Information on Result #679188

Linear OA(4203, 16432, F4, 37) (dual of [16432, 16229, 38]-code), using construction X applied to Ce(36) ⊂ Ce(29) based on
  1. linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(4155, 16384, F4, 30) (dual of [16384, 16229, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(4204, 16433, F4, 37) (dual of [16433, 16229, 38]-code) [i]Code Embedding in Larger Space
2Linear OA(4205, 16434, F4, 37) (dual of [16434, 16229, 38]-code) [i]
3Linear OA(4202, 16431, F4, 36) (dual of [16431, 16229, 37]-code) [i]Truncation
4Linear OOA(4203, 13804, F4, 2, 37) (dual of [(13804, 2), 27405, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4203, 13804, F4, 3, 37) (dual of [(13804, 3), 41209, 38]-NRT-code) [i]
6Digital (166, 203, 13804)-net over F4 [i]
7Linear OA(4205, 16435, F4, 37) (dual of [16435, 16230, 38]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OOA(4203, 8216, F4, 2, 37) (dual of [(8216, 2), 16229, 38]-NRT-code) [i]OOA Folding
9Linear OOA(4203, 5477, F4, 3, 37) (dual of [(5477, 3), 16228, 38]-NRT-code) [i]