Information on Result #737242

Linear OA(494, 16421, F4, 17) (dual of [16421, 16327, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
  1. 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]
  2. linear OA(457, 16385, F4, 11) (dual of [16385, 16328, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
  3. linear OA(49, 36, F4, 5) (dual of [36, 27, 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 OOA(494, 8210, F4, 2, 17) (dual of [(8210, 2), 16326, 18]-NRT-code) [i]OOA Folding
2Linear OOA(494, 5473, F4, 3, 17) (dual of [(5473, 3), 16325, 18]-NRT-code) [i]