EXISTENCE OF q-ANALOGS OF STEINER SYSTEMS Page 1 Forum of Mathematics, Pi (2016),
Vol. 4, e7, 14 pages doi:10.1017/fmp.2016.5 1 EXISTENCE OF q-ANALOGS OF STEINER …

Using the structure of Singer cycles in general linear groups, we prove that a conjecture of
Zeng et al.(Word-Oriented Feedback Shift Register: σ-LFSR, 2007) holds in the affirmative in …

The families of bijective transformations $ G_n $ of affine space $ K^ n $ over general
commutative ring $ K $ of increasing order with the property of stability will be constructed …

Families of stable cyclic groups of nonlinear polynomial transformations of affine spaces Kn
over general commutative ring K of with n increasing order can be used in the key exchange …

We study orbit codes in the field extension ${\mathbb F} _ {q^ n} $. First we show that the
automorphism group of a cyclic orbit code is contained in the normalizer of the Singer …

A logarithmic signature (LS) for a finite group G is an ordered tuple α= A 1, A 2,..., A n of
subsets A i of G, such that every element g ∈ G can be expressed uniquely as a product g …

Abstract Families of stable cyclic groups of nonlinear polynomial transformations of affine
spaces $ K^ n $ over general commutative ring $ K $ of increasing with $ n $ order can be …

Encryption based on Walks in Algebraic GRAphs (EWAGRA) is used for protection of
authors' rights, access to electronic books or documents located at certain knowledge base …

1. Introduction. Applications of finite projective geometry PG (n− 1, q) over the finite field Fq
to Coding Theory are widely known. Since late 80th geometry PG (n− 1, q) over finite field Fq …

We focus on two aspects of cyclic orbit codes: invariants under equivalence and quasi-
optimality. Regarding the first aspect, we establish a connection between the codewords of a …