A Class of Reducible Cyclic Codes and Their Weight Distribution

A class of cyclic codes constructed via semiprimitive two-weight irreducible cyclic codes∗

We present a family of reducible cyclic codes constructed as a direct sum (as vector spaces) of two different semiprimitive two-weight irreducible cyclic codes. This family generalizes the class of reducible cyclic codes that was reported in the main result of [10]. Moreover, despite of what was stated therein, we show that, at least for the codes studied here, it is still possible to compute t...

Reducible Cyclic Codes Constructed as the Direct Sum of Two Semiprimitive Cyclic Codes

We present a family of reducible cyclic codes constructed as the direct sum of two different semiprimitive two-weight irreducible cyclic codes. This family generalizes the class of reducible cyclic codes that was reported in the main result of B. Wang, et al. [11]. Moreover, despite of what was stated therein, we show that, at least for the codes studied here, it is still possible to compute th...

A class of five-weight cyclic codes and their weight distribution

In this paper, a family of five-weight cyclic codes over Fp whose duals have three zeros is presented, where p is an odd prime. And the weight distribution of these cyclic codes is determined.

A class of six-weight cyclic codes and their weight distribution

In this paper, a family of six-weight cyclic codes over Fp whose duals have three zeros is presented, where p is an odd prime. And the weight distribution of these cyclic codes is determined.

The Weight Distribution of a Family of Reducible Cyclic Codes