BURSTS/CT-BURSTS DETECTED BY b-SBEC CODES AND SOLID BURSTS UNDETECTED BY CYCLIC CODES

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Mathematical Sciences and Applications E-Notes
Volume:2 Issue:2
BURSTS/CT-BURSTS DETECTED BY b-SBEC CODES AND SOLID BURSTS UNDETECTED BY CYCLIC CODES

BURSTS/CT-BURSTS DETECTED BY b-SBEC CODES AND SOLID BURSTS UNDETECTED BY CYCLIC CODES

Pages : 1-9

View : 54 | Download : 11

Publication Date : 2014-12-01

Article Type : Research Paper

Abstract :In coding theory, several kinds of errors which depend on thenature of the communication channel are to be dealt with and accordinglycodes are constructed to detect and correct such errors. Burst, CT-burst andsolid burst errors are common in many communication channels. Differenttypes of linear codes have been developed to deal with such errors.also quite possible that in communication more than one type of error occursimultaneously. The code which is developed to deal with one type of errormay or may not be able to deal with the other type of error.The paper presents the minimum number of burst/CT-burst errors that willbe detected by a b-SBEC code. A lower bound on parity check digits for suchcode is obtained. Further, the paper presents the number of solid burst errorsthat will be gone detected/undetected by a cyclic code. By a b-SBEC code,we mean a linear code that corrects all solid bursts of length b or less
Keywords : Parity check digit, burst, CT burst, solid burst, cyclic codes

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