On negacyclic codes over the ring ℤp + uℤp + . . . + uk + 1 ℤp

Abstract

We investigate the structure of negacyclic codes over the chain ring ℤp [u]/〈 uk 〉, which plays an important role in data transmission technologies. We study the set of generators for these codes. We also discuss the rank and hamming distance for these codes. We give some examples of negacyclic codes which are near to optimal.

Keywords

• cyclic codes
• negacyclic codes
• hamming distance
• 02.10.de
• 02.10.hh
• 02.10.hd