Information on Result #698389

Linear OA(6440, 262160, F64, 13) (dual of [262160, 262120, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
  1. linear OA(6437, 262145, F64, 13) (dual of [262145, 262108, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  2. linear OA(6425, 262145, F64, 9) (dual of [262145, 262120, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  3. linear OA(643, 15, F64, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,64) or 15-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(1660, 262160, S16, 13) [i]Discarding Parts of the Base for OAs
2OA(3248, 262160, S32, 13) [i]
3Linear OOA(6440, 197421, F64, 2, 13) (dual of [(197421, 2), 394802, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(6440, 197421, F64, 3, 13) (dual of [(197421, 3), 592223, 14]-NRT-code) [i]
5Digital (27, 40, 197421)-net over F64 [i]
6Linear OOA(6440, 131080, F64, 2, 13) (dual of [(131080, 2), 262120, 14]-NRT-code) [i]OOA Folding
7Linear OOA(6440, 87386, F64, 3, 13) (dual of [(87386, 3), 262118, 14]-NRT-code) [i]
8Linear OOA(6440, 43693, F64, 13, 13) (dual of [(43693, 13), 567969, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row