Complete Decoding of Triple-Error-Correcting Binary BCH Codes

IEEE Transactions on Information Theory

Volumn 22, Issue 2, 1976, Pages 138-147

  Berger, Toby ^b  

^a Dominican Power Company Instituto Technologico de Santo Domingo Collegio de La Salle ^*  (Dominican Republic)

^b Federal Systems Division   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BCH CODES; BINARY CODES;

CODES, SYMBOLIC;

EID: 0016926197     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1976.1055530     Document Type: Article

References (11)

1. E. F. Assmus, Jr., and H. F. Mattson, Jr., AMS Notices, vol. 21, 74 T-C37, p. A-548, Oct. 1974.
2. D. Gorenstein, W. W. Peterson, and N. Zierler, “Two error correcting Bose-Chaudhuri codes are quasi-perfect,” Inform. Contr., vol. 3. pp. 291–294. 1960.
3. E. R. Berlekamp, Algebraic Coding Theory. New York: McGraw-Hill, 1968.
4. E. R. Berlekamp, H. Rumsey, and G. Solomon, “On the solution of algebraic equations over finite fields,” Inform. Contr. vol. 10, pp. 553–564, 1967.
5. C. R. P. Hartmann, “A note on the decoding of double-error - correcting binary BCH codes of primitive length,” IEEE Trans. Inform. Theory (Corresp.) vol. IT-17, pp. 765–766, Nov. 1971.
6. C. R. P. Hartmann, “Decoding beyond the BCH bound,” IEEE Trans. Inform. Theory (Corresp.), vol. IT-18, pp. 441–444, May 1972.
7. E. I. Blokh, “On a decoding method for 3-error-correcting Bose-Chaudhuri codes,” Izv. Akad. Sci. SSSR, Tekh. Kibern., no. 3, sect. IV, pp. 30-37, 1964 (in Russian).
8. T. Berger, Rate Distortion Theory: A Mathematical Basis for Data Compression. Englewood Cliffs, N.J.: Prentice-Hall, 1971, sec. 6.2.3.
9. W. W. Peterson, Error-Correcting Codes. New York: Wiley, 1961.
10. José A. van der Horst “Complete decoding of some binary BCH codes,” Ph.D. dissertation, Sch. Elect. Eng., Cornell Univ., Ithaca, N.Y., 1972.
11. W. S. Burnside and A. W. Panton, The Theory of Equations, vol. 1. New York: Dover, 1960.