Descriptor: "*HAMMING distance" / Journal: finite fields & their applications / Topic: 3 selected - Searchworks@Jio Institute Digital Library Search Results

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Start Over Descriptor "*HAMMING distance" Topic algebraic fields Topic cyclic codes Topic finite fields Journal finite fields & their applications

Author: Dinh, Hai Q.
Subjects: *ALGEBRAIC fields, *MATHEMATICAL logic, *MODULES (Algebra), *SET theory
Abstract: Abstract: We investigate negacyclic and cyclic codes of length over the finite field . Negacyclic codes of length are precisely the ideals of the chain ring . This structure is then used to obtain the Hamming distance distribution of the class of such negacyclic codes, which also provides Hamming weight distributions and enumerations of several codes. An one-to-one correspondence between negacyclic and cyclic codes is established to carry accordingly those results of negacyclic codes to cyclic codes. [Copyright &y& Elsevier]
Published: 2008
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