期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, ; ()
It is well known that any finite commutative ring is isomorphic to a direct product of local rings via the Chinese remainder theorem. Hence, there is ......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, ; ()
Let m = 8k and alpha be a primitive element of the finite field GF (2(m)), where k >= 2 is an integer. In this paper, a class of binary cyclic code......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, ; ()
As a subclass of linear codes, cyclic codes have efficient encoding and decoding algorithms, so they are widely used in many areas such as consumer el......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2021; 32 (1)
Linear codes with a few weights have important applications in secret sharing, authentication codes, data storage system, association schemes, and str......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2021; 32 (1)
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they hav......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2020; 31 (3-4)
Differential uniformity of permutation polynomials has been studied intensively in recent years due to the differential cryptanalysis of S-boxes. The ......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2019; 30 (1)
In this paper, several classes of two-weight or three-weight linear codes over Fp from quadratic or non-quadratic functions are constructed and their ......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2019; 30 (1)
Direct-sequence spread spectrum and frequency-hopping (FH) spread spectrum are two main spread-coding technologies. Frequency-hopping sequences (FHSs)......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2019; 30 (2)
As a special type of linear codes, minimal linear codes have important applications in secret sharing. Up to now, only a few infinite families of mini......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2019; 30 (2)
Let R=Fq+v1Fq++vrFq, where q is a power of a prime, vi2 0 for 1i,jr and r1. In this paper, the structure of cyclic codes over the ring R is studied an......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2019; 30 (2)
In the past decades, linear codes with a few weights have been extensively studied for their applications in space communication, data storage and cry......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2019; 30 (6)
Codebooks with small inner-product correlation are preferred in many practical applications such as direct spread code division multiple access commun......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2019; 30 (3)
Recently, a conjecture on the linear complexity of a new class of generalized cyclotomic binary sequences of period pr was proposed by Xiao et al. (De......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2019; 30 (4)
In this paper, we first discuss the bentness of a large class of quadratic Boolean functions in polynomial form f(x)=Sigma i=1n/2- (cn/2x1+2n/2), wher......
期刊： APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 0; ()
Let F2m be a finite field of 2melements and denote R=F2m[u]=F2m+uF2m++uk-1F2m, where k is an integer satisfying k >= 2. For any odd positive intege......
