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Page 3516 of Mathematical Reviews Vol. , Issue 2004d [page]

2004 Mathematical Reviews  
Summary: “In this paper, for k > 1 an isometry y* between codes over Z,«.: and codes over Z4 is introduced and is used to give a generalization of the Gray map.  ...  Furthermore, by means of this isometry, the concept of negacyclic codes is extended to codes over the ring Z>.1, referred to as hpo-cyclic codes (half plus one- cyclic codes).  ... 

Page 6001 of Mathematical Reviews Vol. , Issue 2000h [page]

2000 Mathematical Reviews  
We prove that the Gray image of a linear negacyclic code over Z4 of length n is a binary distance invariant (not necessarily linear) cyclic code.  ...  Jacques (F-TOLN-GN; La Garde) Negacyclic and cyclic codes over Z;.  ... 

Page 5117 of Mathematical Reviews Vol. , Issue 2004f [page]

2004 Mathematical Reviews  
Summary: “This paper classifies all cyclic codes over Z4 of length 2n,n odd.  ...  Summary: “This paper generalizes the results from Wolfmann, classifying all negacyclic codes over Zs of even length using a transform approach.  ... 

Algebraic Decoding of Negacyclic Codes Over Z_4 [article]

Eimear Byrne, Marcus Greferath, Jaume Pernas, Jens Zumbrägel
2011 arXiv   pre-print
We present an algebraic decoding algorithm for this class of codes that corrects any error pattern of Lee weight at most t.  ...  In this article we investigate Berlekamp's negacyclic codes and discover that these codes, when considered over the integers modulo 4, do not suffer any of the restrictions on the minimum distance observed  ...  Algorithm 2 (Algebraic Decoding of Z 4 Negacyclic Codes).  ... 
arXiv:1102.3604v5 fatcat:3vmmmyacnnej5p65difhzphhly

Lee-metric BCH codes and their application to constrained and partial-response channels

R.M. Roth, P.H. Siegel
1994 IEEE Transactions on Information Theory  
Second, the code construction with its decoding algoritBm cm be formulated over the integer ring, providing an algebraic approach to correcting errors in partial-response channels where matched spectral-null  ...  Furthermore, for a given r, the length range of these codes is twice as large as that attainable by Bedelramp's extended negacyclic codes.  ...  Lee metric decoding algorithm for negacyclic codes [3, Algorithm 9.361.  ... 
doi:10.1109/18.335966 fatcat:yrcvfeb7nzemveynuzyxe65tta

Page 3478 of Mathematical Reviews Vol. , Issue Index [page]

Mathematical Reviews  
over Z4.  ...  Binary images of cyclic codes over Z4. (English summary) 2004d:94052 Woods, John W. sce Baji¢c, Ivan V., 2004f:94106 Wu, K. Y. see Ping, Li et al.  ... 

Self-Dual Codes [article]

E.M. Rains, N.J.A. Sloane
2002 arXiv   pre-print
Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory.  ...  Topics covered in this survey include codes over F_2, F_3, F_4, F_q, Z_4, Z_m, shadow codes, weight enumerators, Gleason-Pierce theorem, invariant theory, Gleason theorems, bounds, mass formulae, enumeration  ...  Acknowledgements Over the past 26 years NJAS has had the pleasure of collaborating with many of the people whose names are listed in the bibliography: he wishes to express his appreciation to all of them  ... 
arXiv:math/0208001v1 fatcat:vgqbfd4h6faehj34upylbqw3km