Information on Result #737206

Linear OA(4202, 65573, F4, 33) (dual of [65573, 65371, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) based on
  1. linear OA(4193, 65537, F4, 33) (dual of [65537, 65344, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(4161, 65537, F4, 27) (dual of [65537, 65376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(4202, 33133, F4, 2, 33) (dual of [(33133, 2), 66064, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4202, 33133, F4, 3, 33) (dual of [(33133, 3), 99197, 34]-NRT-code) [i]
3Digital (169, 202, 33133)-net over F4 [i]
4Linear OOA(4202, 32786, F4, 2, 33) (dual of [(32786, 2), 65370, 34]-NRT-code) [i]OOA Folding
5Linear OOA(4202, 21857, F4, 3, 33) (dual of [(21857, 3), 65369, 34]-NRT-code) [i]