Information on Result #679001

Linear OA(4140, 16440, F4, 24) (dual of [16440, 16300, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,8]) based on
  1. linear OA(4127, 16385, F4, 25) (dual of [16385, 16258, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(485, 16385, F4, 17) (dual of [16385, 16300, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  3. linear OA(413, 55, F4, 6) (dual of [55, 42, 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(4141, 16441, F4, 24) (dual of [16441, 16300, 25]-code) [i]Code Embedding in Larger Space
2Linear OOA(4140, 16440, F4, 2, 24) (dual of [(16440, 2), 32740, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(4140, 16440, F4, 3, 24) (dual of [(16440, 3), 49180, 25]-NRT-code) [i]
4Digital (116, 140, 16440)-net over F4 [i]
5Linear OA(4141, 16442, F4, 24) (dual of [16442, 16301, 25]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OA(4142, 16444, F4, 24) (dual of [16444, 16302, 25]-code) [i]
7Linear OOA(4140, 8220, F4, 2, 24) (dual of [(8220, 2), 16300, 25]-NRT-code) [i]OOA Folding
8Linear OOA(4140, 5480, F4, 3, 24) (dual of [(5480, 3), 16300, 25]-NRT-code) [i]
9Linear OOA(4140, 1370, F4, 24, 24) (dual of [(1370, 24), 32740, 25]-NRT-code) [i]OA Folding and Stacking