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There are three standard weight functions on a linear code viz. Hamming weight, Lee weight, and Euclidean weight. Euclidean weight function is useful in connection with the lattice constructions [2] where the minimum norm of vectors in the lattice is related to the minimum Euclidean weight of the code. In this paper, we obtain an upper bound over the number of parity check digits for Euclidean weight codes detecting and correcting burst errors.
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참고문헌 (15)
참고문헌 신청
A. Bonnecaze / 1995 / Quaternary quadratic residue codes and unimodular lattices / IEEE Trans. Inform. Theory 41 (2) : 366 ~ 377
A. D. Wyner / 1963 / Low-density-burst-correcting Codes / IEEE. Trans. Information Theory IT-9 : 124 ~
C. N. Campopiano / 1962 / Bounds on Burst Error Correcting Codes / IRE. Trans. : 257 ~ 259
C. Y. Lee / 1958 / Some properties of non-binary error correcting codes / IEEE Trans. Information Theory IT-4 : 77 ~ 82
E. R. Berlekamp / 1968 / Algebraic Coding Theory, McGraw-Hill Book Co. / New York-Toronto
A. D. Wyner / 1963 / Low-density-burst-correcting Codes / IEEE. Trans. Information Theory IT-9 : 124 ~
C. N. Campopiano / 1962 / Bounds on Burst Error Correcting Codes / IRE. Trans. : 257 ~ 259
C. Y. Lee / 1958 / Some properties of non-binary error correcting codes / IEEE Trans. Information Theory IT-4 : 77 ~ 82
E. R. Berlekamp / 1968 / Algebraic Coding Theory, McGraw-Hill Book Co. / New York-Toronto
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