Bulletin of the American Mathematical Society

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Book Information:

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

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

Author: 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.

Stephen D. Cohen, Exceptional polynomials and the reducibility of substitution polynomials, Enseign. Math. (2) 36 (1990), no. 1-2, 53–65. MR 1071414

Stephen D. Cohen, Proof of a conjecture of Chowla and Zassenhaus on permutation polynomials, Canad. Math. Bull. 33 (1990), no. 2, 230–234. MR 1060378, DOI 10.4153/CMB-1990-036-3

Stephen D. Cohen, Permutation polynomials and primitive permutation groups, Arch. Math. (Basel) 57 (1991), no. 5, 417–423. MR 1129514, DOI 10.1007/BF01246737

[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.

Ronald J. Evans, John Greene, and Harald Niederreiter, Linearized polynomials and permutation polynomials of finite fields, Michigan Math. J. 39 (1992), no. 3, 405–413. MR 1182496, DOI 10.1307/mmj/1029004595

Michael Fried, On a conjecture of Schur, Michigan Math. J. 17 (1970), 41–55. MR 257033

Michael D. Fried, Robert Guralnick, and Jan Saxl, Schur covers and Carlitz’s conjecture, Israel J. Math. 82 (1993), no. 1-3, 157–225. MR 1239049, DOI 10.1007/BF02808112

Shuhong Gao and Hendrik W. Lenstra Jr., Optimal normal bases, Des. Codes Cryptogr. 2 (1992), no. 4, 315–323. MR 1194773, DOI 10.1007/BF00125200

D. R. Hayes, A geometric approach to permutation polynomials over a finite field, Duke Math. J. 34 (1967), 293–305. MR 209266

Rudolf Lidl and Harald Niederreiter, Finite fields, Encyclopedia of Mathematics and its Applications, vol. 20, Addison-Wesley Publishing Company, Advanced Book Program, Reading, MA, 1983. With a foreword by P. M. Cohn. MR 746963

Da Qing Wan, Permutation polynomials and resolution of singularities over finite fields, Proc. Amer. Math. Soc. 110 (1990), no. 2, 303–309. MR 1031673, DOI 10.1090/S0002-9939-1990-1031673-4

Igor E. Shparlinski, On bivariate polynomial factorization over finite fields, Math. Comp. 60 (1993), no. 202, 787–791. MR 1176716, DOI 10.1090/S0025-5718-1993-1176716-3

[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)