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A class of generalized cyclic codes
Zhuo Jun LIU, Dong Dai LIN
Acta Mathematicae Applicatae Sinica(English Series)
2000, 16 (1):
53-58.
In this paper,we discuss how to construct a class of generalized cyclic codes,denoted by GCC.It is well known that a cyclic code is generated by a factor of x~n-1.Clearly,any monic polynomial g(x) with degree less than n could be considered as a factor of some polynomial of degree n.Similarly the construction of cyclic codes,we explain how g(x) can generate a GCC.Meanwhile,as related to cyclic codes,experiments show that GCC can anlays produce a better parameter and/or give more linear codes.On the basis the of concept of GCC,we can also construct a linear code of [90,76,5]_2.
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