Information on Result #678890

Linear OA(4257, 16402, F4, 49) (dual of [16402, 16145, 50]-code), using construction X applied to C([0,24]) ⊂ C([0,22]) based on
  1. linear OA(4253, 16385, F4, 49) (dual of [16385, 16132, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
  2. linear OA(4239, 16385, F4, 45) (dual of [16385, 16146, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
  3. linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), 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(4257, 11611, F4, 2, 49) (dual of [(11611, 2), 22965, 50]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4257, 11611, F4, 3, 49) (dual of [(11611, 3), 34576, 50]-NRT-code) [i]
3Digital (208, 257, 11611)-net over F4 [i]
4Linear OOA(4257, 8201, F4, 2, 49) (dual of [(8201, 2), 16145, 50]-NRT-code) [i]OOA Folding