Two new rate 2/p binary quasi-cyclic codes

TitleTwo new rate 2/p binary quasi-cyclic codes
Publication TypeJournal Article
Year of Publication1994
AuthorsGulliver, T. A., and V. K. Bhargava
JournalInformation Theory, IEEE Transactions on
Pagination1667 -1668
Date Publishedsep.
Keywordsbinary quasi-cyclic codes, binary sequences, circulant matrices, code parameters, cyclic codes, even parity check bit, linear code, lower bound, matrix algebra, maximum possible minimum distance

A class of rate 2/P quasi-cyclic codes can be characterized in terms of m times;m circulant matrices. In this correspondence, two new codes with parameters (80, 10, 35) and (95, 10, 42) are presented which improve the known lower bound on the maximum possible minimum distance. The former code can be extended with an even parity check bit to an (81, 10, 36) code that establishes that d2(81, 10)=36


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