Information on Result #737205

Linear OA(4250, 65573, F4, 41) (dual of [65573, 65323, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,17]) based on
  1. linear OA(4241, 65537, F4, 41) (dual of [65537, 65296, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
  2. linear OA(4209, 65537, F4, 35) (dual of [65537, 65328, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(4250, 35797, F4, 2, 41) (dual of [(35797, 2), 71344, 42]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4250, 35797, F4, 3, 41) (dual of [(35797, 3), 107141, 42]-NRT-code) [i]
3Digital (209, 250, 35797)-net over F4 [i]
4Linear OOA(4250, 32786, F4, 2, 41) (dual of [(32786, 2), 65322, 42]-NRT-code) [i]OOA Folding
5Linear OOA(4250, 21857, F4, 3, 41) (dual of [(21857, 3), 65321, 42]-NRT-code) [i]