Linear codes have a wide range of applications in the data storage systems, communication
systems, consumer electronics products since their algebraic structure can be analyzed and …

The Niho exponent was introduced by Yoji Niho, who investigated the cross-correlation
function between an m-sequence and its decimation sequence in 1972. Since then, Niho …

Protecting secrets is a key challenge in our contemporary information-based era. In common
situations, however, revealing secrets appears unavoidable; for instance, when identifying …

Due to their wide applications in consumer electronics, data storage systems and
communication systems, cyclic codes have been an interesting research topic in coding …

Let m≥ 3 be an odd integer and p be an odd prime. In this paper, a number of classes of
three-weight cyclic codes C (1, e) over F p, which have parity-check polynomial m 1 (x) me …

Let C (u, v) denote the ternary cyclic code with two nonzeros α u and α v, where α is a
generator of F 3 m⁎ and 0≤ u, v≤ 3 m− 2. In this paper, we present a sufficient condition …

Cyclic codes are a subclass of linear codes and have applications in consumer electronics,
data storage systems and communication systems as they have efficient encoding and …

In this paper, we construct many infinite families of distance-optimal codes with new
parameters, some of which are BCH codes and quasi-cyclic codes. In particular, we report …

Cyclic codes are a subclass of linear codes and have applications in consumer electronics,
data storage systems, and communication systems as they have efficient encoding and …

Due to their wide applications in consumer electronics, data storage systems and
communication systems, cyclic codes have been an interesting subject of study in recent …