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| Cyclic Codes of Length 2e OverＦ2+uＦ2 |
| Li Ping; Zhu Shi-xin |
| Dept. of Appl. Math., Hefei University of Technology, Hefei 230009, China |
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Abstract In the last ten more years, cyclic codes over finite rings have become a hot issue for coding theorists.It is proved that R[x]/<xn-1> is not a principal ideal domain, where R=2+u2 with u2=0, and n=2e. The nonzero ideals of R[x]/<xn-1> are discussed in three cases and the expressions of the uniquely determined generators of the cyclic codes are given. An estimate of upper bound of Lee distance of cyclic codes over R is also given.
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Received: 08 October 2005
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2007, Vol. 29 
