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Note on a Paper of S. Uchiyama

Published online by Cambridge University Press:  20 November 2018

B. C. Mortimer  and
K. S. Williams
B. C. Mortimer
Affiliation:
Carleton University, Ottawa, Canada
K. S. Williams
Affiliation:
Carleton University, Ottawa, Canada
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Let p be a rational prime and n a positive integer ≥2. We denote by an(p) the least positive integral value of a for which the polynomial xn+x+a is irreducible (mod p), and set

(1)

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 2 , 01 June 1974 , pp. 289 - 293
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Berlekamp, E. R., Algebraic coding Theory, McGraw-Hill Book Company (1968), Chapter 6.Google Scholar
2. Zierler, N., On xn+x+l over GF(2)9 Information and Control 16 (1970), 502-505.Google Scholar
3. Uchiyama, S., On a conjecture of K. S. Williams, Proc. Japan Acad. 46 (1970), 755-757.Google Scholar
4. Williams, K. S., On two conjectures ofChowla, Canad. Math. Bull. 12 (1969), 545-565.Google Scholar