Information on Result #698626

Linear OA(6428, 4108, F64, 13) (dual of [4108, 4080, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
  1. linear OA(6425, 4097, F64, 13) (dual of [4097, 4072, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  2. linear OA(6417, 4097, F64, 9) (dual of [4097, 4080, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  3. linear OA(643, 11, F64, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,64) or 11-cap in PG(2,64)), 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
1OA(3234, 4108, S32, 13) [i]Discarding Parts of the Base for OAs
2Linear OOA(6428, 2109, F64, 2, 13) (dual of [(2109, 2), 4190, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6428, 2109, F64, 3, 13) (dual of [(2109, 3), 6299, 14]-NRT-code) [i]
4Digital (15, 28, 2109)-net over F64 [i]
5Linear OOA(6428, 2054, F64, 2, 13) (dual of [(2054, 2), 4080, 14]-NRT-code) [i]OOA Folding
6Linear OOA(6428, 1369, F64, 3, 13) (dual of [(1369, 3), 4079, 14]-NRT-code) [i]
7Linear OOA(6428, 684, F64, 13, 13) (dual of [(684, 13), 8864, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row