Information on Result #679187

Linear OA(4210, 16432, F4, 38) (dual of [16432, 16222, 39]-code), using construction X applied to Ce(37) ⊂ Ce(30) based on
  1. linear OA(4197, 16384, F4, 38) (dual of [16384, 16187, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(4211, 16433, F4, 38) (dual of [16433, 16222, 39]-code) [i]Code Embedding in Larger Space
2Linear OA(4212, 16434, F4, 38) (dual of [16434, 16222, 39]-code) [i]
3Linear OOA(4210, 14862, F4, 2, 38) (dual of [(14862, 2), 29514, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(4210, 14862, F4, 3, 38) (dual of [(14862, 3), 44376, 39]-NRT-code) [i]
5Digital (172, 210, 14862)-net over F4 [i]
6Linear OA(4212, 16435, F4, 38) (dual of [16435, 16223, 39]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OOA(4210, 8216, F4, 2, 38) (dual of [(8216, 2), 16222, 39]-NRT-code) [i]OOA Folding
8Linear OOA(4210, 5477, F4, 3, 38) (dual of [(5477, 3), 16221, 39]-NRT-code) [i]