Not sure you would get an antibody response to a DNA fragment that small. Also in humans there is a fair amount of cell free DNA in the blood (cfDNA) which does not elicit an immune response (it's around 30 ng/ml in humans which can increase to 180 ng/ml when cancer is present).
Those DNA elements that do generate an immune response (here it is IgG they mention) seem to be bacterial
"anti-DNA in the serum of normal human subjects (NHS) bind DNA in a sequence-specific manner [8,9]. Thus, these antibodies target sites that are present on some, but not all, DNA from bacterial sources. These antibodies can react with both ss as well as dsDNA, although they are highly specific for particular DNA. This specificity reflects binding to non-conserved base sequences that occur variably in DNA depending on species origin."
NHS = Normal human subject. The above is from: "The influence of DNA size on the binding of antibodies to DNA in the sera of normal human subjects and patients with systemic lupus erythematosus (SLE)"
D S Pisetsky and T C Gonzalezhttp://www.ncbi.nlm.nih.gov/pmc/articles/PMC1905279/
I have not conducted an extensive literature search so you may want to check if anything more applicable has been published.
Perhaps you could do some kind of modification of the "proximity ligation assay" using this oligo?
(Google the above in quotes).