Information on Result #737208

Linear OA(4106, 65573, F4, 17) (dual of [65573, 65467, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
  1. linear OA(497, 65537, F4, 17) (dual of [65537, 65440, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(465, 65537, F4, 11) (dual of [65537, 65472, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, 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(4106, 35069, F4, 2, 17) (dual of [(35069, 2), 70032, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4106, 35069, F4, 3, 17) (dual of [(35069, 3), 105101, 18]-NRT-code) [i]
3Digital (89, 106, 35069)-net over F4 [i]
4Linear OOA(4106, 32786, F4, 2, 17) (dual of [(32786, 2), 65466, 18]-NRT-code) [i]OOA Folding
5Linear OOA(4106, 21857, F4, 3, 17) (dual of [(21857, 3), 65465, 18]-NRT-code) [i]