A Collection of Contributions in Honour of Jack Van Lint

, by Cameron, Peter J.; Van Tilborg, Henk C. A.

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ISBN: 9780444898081 | 0444898085
Cover: Hardcover
Copyright: 8/1/1992

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This collection of contributions is offered to Jack van Lint on the occasion of his sixtieth birthday and appears simultaneously in the series Topics in Discrete Mathematics and as a special double volume of Discrete Mathematics (Volumes 106/107). It is hoped that the papers selected, all written by experts in their own fields, represent the many interesting areas that together constitute the discipline of Discrete Mathematics. It is in this sphere that van Lint has become the acknowledged master and this expansive volume serves to demonstrate the enormous significance he has had on the development of Discrete Mathematics during the last 30 years.

Foreword	p. 1
Publications of J.H. van Lint	p. 3
Local search in coding theory	p. 11
Cyclic affine planes and Paley difference sets	p. 19
On the Reed-Muller codes	p. 25
A note on binary cyclic codes of blocklength 63	p. 35
List decoding	p. 45
Locally K[subscript 3,3] or Petersen graphs	p. 53
Note on the structure of semiovals in finite projective planes	p. 61
On some new simple perfect squared squares	p. 67
Structure and uniqueness of the (81,20,1,6) strongly regular graph	p. 77
Some 2-ranks	p. 83
An observation on certain point-line configurations in classical planes	p. 93
Penrose patterns are almost entirely determined by two points	p. 97
Covering machines	p. 105
Almost all quasigroups have rank 2	p. 111
The dimension of projective geometry codes	p. 117
Subplane covered nets and semipartial geometries	p. 127
On the number of fixed point free elements in a permutation group	p. 135
Generalized hexagons of even order	p. 139
On the covering radius of Reed-Muller codes	p. 147
A new authentication scheme based on latin squares	p. 157
Extension operations for cuts	p. 163
Binomial coefficient codes over GF(2)	p. 181
Some VLSI decompositions of the de Bruijn graph	p. 189
On spherical codes generating the kissing number in dimensions 8 and 24	p. 199
Weight distributions for a certain class of codes and maximal curves	p. 209
Probability, information theory, and prime number theory	p. 219
Translation nets: a survey	p. 231
Local indecomposability of certain geometric graphs	p. 243
New spherical 4-designs	p. 255
Projective codes meeting the Griesmer bound	p. 265
Searching with lies: the Ulam problem	p. 273
On simple combinatorial optimization problems	p. 285
On lengthening of covering codes	p. 291
Kerdock codes and related planes	p. 297
Some fascinating integer sequences	p. 303
Support weight distribution of linear codes	p. 311
On block designs with repeated blocks	p. 317
On the inverse Fermat equation	p. 329
On perfect arithmetic codes	p. 333
Linear codes with complementary duals	p. 337
Fault-detection in networks	p. 343
Completely regular codes	p. 353
Orthogonal arrays and other combinatorial aspects in the theory of uniform point distributions in unit cubes	p. 361
On decoding by error location and dependent sets of error positions	p. 369
Incidence structures applied to cryptography	p. 383
More on the uniqueness of the Golay codes	p. 391
A recursive method for construction of designs	p. 399
Some aspects of the information theoretic dialogue	p. 407
Circuits in graphs embedded on the torus	p. 415
A note on path-zero graphs	p. 435
The [18,9,6] code is unique	p. 439
Is Taylor's graph geometric?	p. 449
Complete k-arcs in PG(n,q), q even	p. 455
On the cardinality of sets of sequences with given maximum correlation	p. 471
Fire codes revisited	p. 479
On the weight enumerator of product codes	p. 483
Some small non-embeddable designs	p. 489
On Kirkman triple systems of order 33	p. 493
Efficient circuits for multiplying in GF(2[superscript m]) for certain values of m	p. 497
Author index to volumes 106/107	p. 503
Table of Contents provided by Blackwell. All Rights Reserved.

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A Collection of Contributions in Honour of Jack Van Lint

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