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Book Information

Author(s): Igor E. Shparlinski
Title: Computational and algorithmic problems in finite fields
Additional book information: Kluwer Academic Publishers, Dordrecht, Boston, and London, 1992, 240 pp., US$118.00. ISBN 0-7923-2057-3

Author(s): R. Lidl, G. L. Mullen, and G. Turnwald
Title: Dickson polynomials
Additional book information: Longman Scientific \& Technical, Harlow, 1993, 207 pp., US$95.00. ISBN 0-582-091195

Author(s): Charles Small
Title: Arithmetic of finite fields
Additional book information: Marcel Dekker, Inc., New York, Basel, and Hong Kong, 1991, 216 pp., US$99.75. ISBN 0-8247-8526-6

Author(s): G. L. Mullen and P. J.-S. Shiue
Title: Finite fields, coding theory, and advances in communications and computing
Additional book information: Marcel Dekker, Inc., New York, Basel, and Hong Kong, 1993, 443 pp., US$145.00. ISBN 0-8247-8805-2

Author(s): Dieter Jungnickel
Title: Finite fields: structure and arithmetics
Additional book information: Wissenschaftsverlag, Mannheim, Leipzig, Wien, and Z\"urich, 1993, 339 pp., Sch 609. ISBN 3-411-16111-6

Author(s): Alfred J. Menezes
Title: Applications of finite fields
Additional book information: Kluwer Academic Publishers, Dordrecht, Boston, and London, 1993, 218 pp., US$72.00. ISBN 0-7923-9282-5

[Co1]: S. D. Cohen, Exceptional polynomials and the reducibility of substitution polynomials, L'Enseign. Math. \textbf{36} (1990), 53--65.
[Co2]: S. D. Cohen, Proof of a conjecture of Chowla and Zassenhaus on permutation polynomials, Canad. Math. Bull. \textbf{33} (1990), 230--234.
[Co3]: S. D. Cohen, Permutation polynomials and primitive permutation groups, Arch. Math. \textbf{57} (1991), 417--423.
[Di1]: L. E. Dickson, The analytic representation of substitutions on a prime power of letters with a discussion of the linear group, Ann. of Math. \textbf{11} (1897), 65--120, 161--183.
[Di2]: L. E. Dickson, Linear groups with an exposition of the Galois field theory, B. G. Teubner, Leipzig, 1901.
[EGN]: R. J. Evans, J. Greene, and H. Niederreiter, Linearized polynomials and permutation polynomials of finite fields, Michigan Math. J. \textbf{39} (1992), 405--413.
[Fr]: M. Fried, On a conjecture of Schur, Michigan Math. J. \textbf{17} (1970), 41--55.
[FGS]: M. Fried, R. Guralnick, and J. Saxl, Schur covers and Carlitz\RM 's conjecture, Israel J. Math. \textbf{82} (1993), 157--225.
[GL]: X. Gao and H. W. Lenstra, Jr., Optimal normal bases, Des. Codes, Cryptogr. \textbf{2} (1992), 315--323.
[Ha]: D. R. Hayes, A geometric approach to permutation polynomials over a finite field, Duke Math. J. \textbf{34} (1967), 293--305.
[LN]: R. Lidl and H. Niederreiter, Finite fields, Addison-Wesley, Reading, MA, 1983.
[Wa]: D. Wan, Permutation polynomials and resolution of singularities over finite fields, Proc. Amer. Math. Soc. \textbf{110} (1990), 303--309.
[Sh]: I. Shparlinski, On bivariate polynomial factorization over finite fields, Math. Comp. \textbf{60} (1993), 787--791.

Review Information:
Journal: Bull. Amer. Math. Soc. 30 (1994), 284-290.
DOI: 10.1090/S0273-0979-1994-00466-5
PII: S 0273-0979(1994)00466-5

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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