Information on Result #678906

Linear OA(4173, 16402, F4, 33) (dual of [16402, 16229, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,14]) based on
  1. linear OA(4169, 16385, F4, 33) (dual of [16385, 16216, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(4155, 16385, F4, 29) (dual of [16385, 16230, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(4173, 9040, F4, 2, 33) (dual of [(9040, 2), 17907, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4173, 9040, F4, 3, 33) (dual of [(9040, 3), 26947, 34]-NRT-code) [i]
3Digital (140, 173, 9040)-net over F4 [i]
4Linear OOA(4173, 8201, F4, 2, 33) (dual of [(8201, 2), 16229, 34]-NRT-code) [i]OOA Folding