A family of two-weight irreducible cyclic codes

Authors:
Asha Rao;Nimalsiri Pinnawala
Affiliations:
School of Mathematical and Geospatial Sciences, RMIT University, Melbourne, Victoria, Australia;Monash College Pty., Ltd., Monash University, Clayton, Victoria, Australia
Venue:
IEEE Transactions on Information Theory
Year:
2010

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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.