Q-ary Bent Functions Constructed from Chain Rings

Finite Fields and their Applications

Volumn 4, Issue 1, 1998, Pages 55-61

  Hou, Xiang Dong ^a  

^a WRIGHT STATE UNIVERSITY   (United States)

Author keywords

Bent funtion, Galois ring, finite local ring.

Indexed keywords

EID: 0013250421     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.1997.0200     Document Type: Article

References (11)

1. Carlet C. Generalized partial spreads. IEEE Trans. Inform. Theory. 41:1995;1482-1487.
2. J. F. Dillon, Elementary Hadamard Difference Sets, Univ. of Maryland, 1974.
3. 4-linearity of Kerdock, Preparata, Goethals, and related codes. IEEE Trans. Inform. Theory. 40:1994;301-319.
4. Hou X., Langevin P. Results on bent functions. J. Combin. Theory, Ser. A. 80:1997;232-246.
5. Kumar P. V., Scholtz R. A., Welch L. R. Generalized bent functions and their properties. J. Combin. Theory, Ser. A. 40:1985.
6. Langevin P. On generalized bent functions. CISM Courses and Lectures (Eurocode). 339:1992;147-157.
7. Leung K. H., Ma S. L. Constructions of partial difference sets and relative difference sets onp-groups. Bull. London. Math. Soc. 22:1990;533-539.
8. Ma S. L., Pott A. Relative difference sets, planar functions, and generalized Hadamard matrices. J. Algebra. 175:1995;505-525.
9. McDonald B. R. Finite Rings with Identity. 1974;Dekker, New York.
10. MacWilliams F. J., Sloane N. J. A. The Theory of Error-Correcting Codes. 1977;North-Holland, Amsterdam.
11. Rothaus O. S. On "bent" functions. J. Combin. Theory, Ser. A. 20:1976;300-305.