Information on Result #698524

Linear OA(6453, 262163, F64, 17) (dual of [262163, 262110, 18]-code), using construction X applied to Ce(16) ⊂ Ce(11) based on
  1. linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(644, 19, F64, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,64)), 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(3264, 262163, S32, 17) [i]Discarding Parts of the Base for OAs
2Linear OOA(6453, 186138, F64, 2, 17) (dual of [(186138, 2), 372223, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6453, 186138, F64, 3, 17) (dual of [(186138, 3), 558361, 18]-NRT-code) [i]
4Digital (36, 53, 186138)-net over F64 [i]
5Linear OOA(6453, 131081, F64, 2, 17) (dual of [(131081, 2), 262109, 18]-NRT-code) [i]OOA Folding
6Linear OOA(6453, 87387, F64, 3, 17) (dual of [(87387, 3), 262108, 18]-NRT-code) [i]
7Linear OOA(6453, 32770, F64, 17, 17) (dual of [(32770, 17), 557037, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row