Codes over tori

IEEE Transactions on Information Theory

Volumn 43, Issue 2, 1997, Pages 740-744

  Huber, Klaus ^a,b  

^a IEEE   (Germany)

^b DEUTSCHE TELEKOM LABORATORIES   (Germany)

Author keywords

Block codes; Coded modulation; Gaussian integers; Mannheim distance; Tori

Indexed keywords

AMPLITUDE MODULATION; COMPUTATIONAL GEOMETRY; DATA COMMUNICATION SYSTEMS; ENCODING (SYMBOLS); INFORMATION THEORY; NUMBER THEORY; SIGNAL PROCESSING;

CODED MODULATION; FINITE FIELDS; GAUSSIAN INTEGERS; MANNHEIM DISTANCE; SIGNAL CONSTELLATION; TORI;

BLOCK CODES;

EID: 0031103211     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.556133     Document Type: Article

References (6)

1. R. E. Blahut, Digital Transmission of Information. Reading, MA: Addison-Wesley, 1990.
2. C. F. Gauss, "Theorie der biquadratischen Reste, Zweite Abhandlung," Commentationes soc. reg. Gotting.recentiores, Vol. VII. Gottengae 1832,
3. also contained in C. F. Gauss, Untersuchungen über Höhere Arithmetik (German translation of the Latin Disquisitiones Arithmeticae by H. Maser, 1889), 2nd reprint. New York: Chelsea, 1981.
4. K. Huber, "Codes over Gaussian integers," IEEE Trans. Inform. Theory, vol. 40, no. 1, pp. 207-216, Jan. 1994.
5. K. Huber, "Codes over Eisenstein-Jacobi integers," in Finite Fields: Theory, Applications and Algorithms, Contemporary Math. (Las Vegas, 1993), vol 168, pp. 165-179 (American Math. Soc., Providence, RI).
6. Wozencraft and Jacobs, Principles of Communication Engineering. New York: Wiley, 1965.