Information on Result #678956

Linear OA(4179, 16423, F4, 33) (dual of [16423, 16244, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) based on
  1. linear OA(4169, 16385, F4, 33) (dual of [16385, 16216, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(4141, 16385, F4, 27) (dual of [16385, 16244, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  3. linear OA(410, 38, F4, 5) (dual of [38, 28, 6]-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(4180, 16424, F4, 33) (dual of [16424, 16244, 34]-code) [i]Code Embedding in Larger Space
2Linear OA(4181, 16425, F4, 33) (dual of [16425, 16244, 34]-code) [i]
3Linear OA(4178, 16422, F4, 32) (dual of [16422, 16244, 33]-code) [i]Truncation
4Linear OOA(4179, 11830, F4, 2, 33) (dual of [(11830, 2), 23481, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4179, 11830, F4, 3, 33) (dual of [(11830, 3), 35311, 34]-NRT-code) [i]
6Digital (146, 179, 11830)-net over F4 [i]
7Linear OOA(4179, 8211, F4, 2, 33) (dual of [(8211, 2), 16243, 34]-NRT-code) [i]OOA Folding
8Linear OOA(4179, 5474, F4, 3, 33) (dual of [(5474, 3), 16243, 34]-NRT-code) [i]