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On the analysis and design of group theoretical t-syEC/AUED codes

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2 Author(s)
Chi-Sung Laih ; Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan ; Ching-Nung Yang

An efficient algorithm to count the cardinalities of certain subsets of constant weight binary vectors is presented in this paper. The algorithm enables us to design I-symmetric error correcting/all unidirectional error detecting (1-syEC/AUED) codes with the highest cardinality based on the group Zn. Since a field Zp is a group, this algorithm can also be used to design a field 1-syEC/AUED code. We can construct t-syEC/AUED codes for f=2 or 3 by appending a tail to the field 1-syEC/AUED codes. The information rates of the proposed t-syEC/AUED codes are shown to be better than the previously developed codes

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Computers, IEEE Transactions on  (Volume:45 ,  Issue: 1 )