viii CONTENTS

Projective geometry codes over prime fields

J. W. P. HIRSCHFELD AND

R.

SHAW

Codes over Eisenstein-Jacobi integers

KLAUS HUBER

Points on Fermat curves over finite fields

151

165

HUBERT KIECHLE

181

Lengths of factorizations for polynomials over a finite field

A. KNOPFMACHER, J. KNOPFMACHER, AND

R.

WARLIMONT

185

A note on Weil representation of SL2

(1Fq)

and Soto-Andrade sums

JINGHUA KUANG

207

Some sequences with good autocorrelation properties

PHILIPPE LANGEVIN

213

Pellian equation conjecture and absolutely nonsingular projective varieties

over a finite field-Hecke operator and Pellian equation conjecture (IV)

HONGWEN Lu

217

Strong pseudoprimes and generalized Carmichael numbers

REX MATTHEWS

227

Transformations of 4-regular graphs and equations over finite fields of Chevalley-

Warning type

OSCAR MORENO AND VICTOR A. ZINOVIEV

235

New examples of exceptional polynomials

PETER MULLER

245

New deterministic factorization algorithms for polynomials over finite fields

HARALD NIEDERREITER

251

Discrete logarithms and smooth polynomials

A.M. 0DLYZKO

269

Parents, children, neighbors and the shadow

VERA PLESS

279

The knapsack problem in cryptography

MINGHUA Qu AND S. A. VANSTONE

291

Iterated constructions of normal bases over finite fields

ALFRED SCHEERHORN

309

Periodicity properties of kth order linear recurrences whose characteristic

polynomial splits completely over a finite field, I

LAWRENCE SOMER

327

Projective geometry codes over prime fields

J. W. P. HIRSCHFELD AND

R.

SHAW

Codes over Eisenstein-Jacobi integers

KLAUS HUBER

Points on Fermat curves over finite fields

151

165

HUBERT KIECHLE

181

Lengths of factorizations for polynomials over a finite field

A. KNOPFMACHER, J. KNOPFMACHER, AND

R.

WARLIMONT

185

A note on Weil representation of SL2

(1Fq)

and Soto-Andrade sums

JINGHUA KUANG

207

Some sequences with good autocorrelation properties

PHILIPPE LANGEVIN

213

Pellian equation conjecture and absolutely nonsingular projective varieties

over a finite field-Hecke operator and Pellian equation conjecture (IV)

HONGWEN Lu

217

Strong pseudoprimes and generalized Carmichael numbers

REX MATTHEWS

227

Transformations of 4-regular graphs and equations over finite fields of Chevalley-

Warning type

OSCAR MORENO AND VICTOR A. ZINOVIEV

235

New examples of exceptional polynomials

PETER MULLER

245

New deterministic factorization algorithms for polynomials over finite fields

HARALD NIEDERREITER

251

Discrete logarithms and smooth polynomials

A.M. 0DLYZKO

269

Parents, children, neighbors and the shadow

VERA PLESS

279

The knapsack problem in cryptography

MINGHUA Qu AND S. A. VANSTONE

291

Iterated constructions of normal bases over finite fields

ALFRED SCHEERHORN

309

Periodicity properties of kth order linear recurrences whose characteristic

polynomial splits completely over a finite field, I

LAWRENCE SOMER

327