Electromagnetic information leak as a potential data security risk is more and more serious. Discussing the relationship between compromising emanations and Hamming distance is directed to preventing or reducing the electromagnetic information leakage. The paper presents the model of electromagnetic information leak, then the hierarchical protection strategy based on the model is proposed, that...

The diversity and scope of multiplex parallel sequencing applications is steadily increasing. Critically, multiplex parallel sequencing applications methods rely on the use of barcoded primers for sample identification, and the quality of the barcodes directly impacts the quality of the resulting sequence data. Inspection of the recent publications reveals a surprisingly variable quality of the...

We study the Hamming distance from polynomials to classes of polynomials that share certain properties of irre-ducible polynomials. The results give insight into whether or not irreducible polynomials can be effectively modeled by these more general classes of polynomials. For example, we prove that the number of degree n polynomials of Hamming distance one from a randomly chosen set of 2 n /n ...

We study distributed protocols for finding all pairs of similar vectors in a large dataset. Our results pertain to a variety of discrete metrics, and we give concrete instantiations for Hamming distance. In particular, we give improved upper bounds on the overhead required for similarity defined by Hamming distance r > 1 and prove a lower bound showing qualitative optimality of the overhead req...

The class of the binary generalized Goppa codes is offered. It is shown that the codes of this class are on the Hamming bound constructed for a weighted metric.

For a Type T ∈ {I, II, III, IV} and length N where there exists no self-dual Type T code of length N , upper bounds on the minimum weight of the dual code of a self-orthogonal Type T code of length N are given, allowing the notion of dual extremal codes. It is proven that the Hamming weight enumerator of a dual extremal maximal self-orthogonal code of a given length is unique.