We study the linear complexity of sequences over the prime field Fd introduced by Sidel’nikov. For several classes of period length we can show that these sequences have a large linear complexity. For the ternary case we present exact results on the linear complexity using well known results on cyclotomic numbers. Moreover, we prove a general lower bound on the linear complexity profile for all...

A graph G has a representation modulo r if there exists an injective map f : V (G) → {0, 1, ..., r − 1} such that vertices u and v are adjacent if and only if f(u) − f(v) is relatively prime to r. The representation number of G, rep(G), is the smallest integer such that G has a representation modulo r. In this paper we study the representation numbers of various graphs, such as the complete ter...

In this paper, for a prime power q, new cyclic difference sets with Singer parameters ððq 1=q 1Þ; ðq 1 1=q 1Þ; ðq 2 1=q 1ÞÞ are constructed by using q-ary sequences (d-homogeneous functions) of period q 1 and the generalization of GMW difference sets is proposed by combining the generation methods of d-form sequences and extended sequences. When q is a power of 3, new cyclic difference sets wit...

The main aim of this paper is to study LCD codes. Linear code with complementary dual(LCD) are those codes which have their intersection with their dual code as t0u. In this paper we will give rather alternative proof of Massey’s theorem[8], which is one of the most important characterization of LCD codes. Let LCDrn, ks3 denote the maximum of possible values of d among rn, k, ds ternary LCD cod...

the aim of the present study was to investigate the relationship between the polar surface area and other molecular properties of the model drugs and their transdermal permeability across the rat skin. few model drugs which are weakly acidic (ibuprofen, aceclofenac and glipizide) and weakly basic (olanzapine, telmisartan and sildenafil citrate) were selected for the study based on polar surface...

A graph is half-arc-transitive if its automorphism group acts transitively on vertices and edges, but not on arcs. Let p be a prime. Cheng and Oxley [On weakly symmetric graphs of order twice a prime, J. Combin. Theory B 42(1987) 196-211] proved that there is no half-arc-transitive graph of order 2p, and Alspach and Xu [ 12 -transitive graphs of order 3p, J. Algebraic Combin. 3(1994) 347-355] c...

We present a modular framework for the design of efficient adaptively secure attribute-based encryption(ABE) schemes for a large class of predicates under the standard k-Lin assumption in prime-order groups; this is thefirst uniform treatment of dual system ABE across different predicates and across both composite and prime-ordergroups. Via this framework, we obtain concrete efficie...

A new theoretical model based on the local composition concept (TNRF-mNRTL model) was proposed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. This contribution of interaction along with the long-range contribution of interaction (Pitzer-Debye-Hückel equation), configurational entropy of mixing (Flory-Huggins relation)...

It is known that the only finite topological spaces that are Hspaces are the discrete spaces. For a finite poset which is weakly equivalent to an H-space, a generalized multiplication may be found after suitable subdivision. In this paper we construct minimal models of the k-fold generalised multiplications of circles in the category of relational structures, including poset models. In particul...

It has been an active research issue for many years to construct new bent functions. For k odd with gcd(n, k) = 1, and a ∈ F3n , the function f(x) = Tr(ax 3k+1 2 ) is weakly regular bent over F3n , where Tr(·) : F3n → F3 is the trace function. This is the well-known Coulter-Matthews bent function. In this paper, we determine the dual function of f(x) completely. As a consequence, we find many c...