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| A Class of Constacyclic Codes Over F2[u]/(u4) and Its Gray Image |
| Wang Li-qi Zhu Shi-xin |
| School of Mathematics, Hefei University of Technology, Hefei 230009, China |
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Abstract A new Gray map is defined from R=F2+uF2+u2F2+u3F2 to F42 with u4=0. It is proved that the Gray image of a linear (1+u+u2+u3)-cyclic code of length n over R is a distance-invariant linear cyclic code of length 4n over F2 . Further more, the generator polynomials of the Gray image of this constacyclic code for odd length over R is determined, some optimal binary linear cyclic codes are also obtained.
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Received: 09 July 2012
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Corresponding Authors:
Wang Li-qi
E-mail: liqiwangg@163.com
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2013, Vol. 35 
