Title :
A Family of Two-Weight Irreducible Cyclic Codes
Author :
Rao, Asha ; Pinnawala, Nimalsiri
Author_Institution :
Sch. of Math. & Geospatial Sci., RMIT Univ., Melbourne, VIC, Australia
fDate :
6/1/2010 12:00:00 AM
Abstract :
Elementary properties of the trace map are used to construct a family of two-weight, irreducible cyclic codes. These codes are neither subfield codes nor are they semiprimitive.
Keywords :
cyclic codes; elementary property; trace map; two-weight irreducible cyclic codes; Australia; Codes; Galois fields; Hamming weight; Polynomials; Codes; cyclic; irreducible; trace; two-weight;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2010.2046201
