Information on Result #679172

Linear OA(4106, 16419, F4, 19) (dual of [16419, 16313, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
  1. linear OA(499, 16384, F4, 19) (dual of [16384, 16285, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(47, 35, F4, 4) (dual of [35, 28, 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(4107, 16420, F4, 19) (dual of [16420, 16313, 20]-code) [i]Code Embedding in Larger Space
2Linear OA(4108, 16421, F4, 19) (dual of [16421, 16313, 20]-code) [i]
3Linear OOA(4106, 12502, F4, 2, 19) (dual of [(12502, 2), 24898, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(4106, 12502, F4, 3, 19) (dual of [(12502, 3), 37400, 20]-NRT-code) [i]
5Digital (87, 106, 12502)-net over F4 [i]
6Linear OA(4108, 16422, F4, 19) (dual of [16422, 16314, 20]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OOA(4106, 8209, F4, 2, 19) (dual of [(8209, 2), 16312, 20]-NRT-code) [i]OOA Folding
8Linear OOA(4106, 5473, F4, 3, 19) (dual of [(5473, 3), 16313, 20]-NRT-code) [i]
9Linear OOA(4106, 1824, F4, 19, 19) (dual of [(1824, 19), 34550, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row