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Book Review
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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
References:
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- [Co1]
- S. D. Cohen, Exceptional polynomials and the reducibility of substitution polynomials, L'Enseign. Math. 36 (1990), 53-65. MR 1071414 (91j:11106)
- [Co2]
- -, Proof of a conjecture of Chowla and Zassenhaus on permutation polynomials, Canad. Math. Bull. 33 (1990), 230-234. MR 1060378 (91g:11146)
- [Co3]
- -, Permutation polynomials and primitive permutation groups, Arch. Math. 57 (1991), 417-423. MR 1129514 (92j:11145)
- [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. 11 (1897), 65-120, 161-183.
- [Di2]
- -, 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. 39 (1992), 405-413. MR 1182496 (93j:11080)
- [Fr]
- M. Fried, On a conjecture of Schur, Michigan Math. J. 17 (1970), 41-55. MR 0257033 (41:1688)
- [FGS]
- M. Fried, R. Guralnick, and J. Saxl, Schur covers and Carlitz's conjecture, Israel J. Math. 82 (1993), 157-225. MR 1239049 (94j:12007)
- [GL]
- X. Gao and H. W. Lenstra, Jr., Optimal normal bases, Des. Codes, Cryptogr. 2 (1992), 315-323. MR 1194773 (93j:12003)
- [Ha]
- D. R. Hayes, A geometric approach to permutation polynomials over a finite field, Duke Math. J. 34 (1967), 293-305. MR 0209266 (35:168)
- [LN]
- R. Lidl and H. Niederreiter, Finite fields, Addison-Wesley, Reading, MA, 1983. MR 746963 (86c:11106)
- [Wa]
- D. Wan, Permutation polynomials and resolution of singularities over finite fields, Proc. Amer. Math. Soc. 110 (1990), 303-309. MR 1031673 (90m:11197)
- [Sh]
- I. Shparlinski, On bivariate polynomial factorization over finite fields, Math. Comp. 60 (1993), 787-791. MR 1176716 (93k:12008)
Additional Information:
Reviewer(s):
Daqing
Wan
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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