Books > Science & Mathematics > Mathematics > Applied mathematics
|
Buy Now
Non-commutative Cryptography and Complexity of Group-theoretic Problems (Hardcover)
Loot Price: R3,267
Discovery Miles 32 670
You Save: R174
(5%)
|
|
Non-commutative Cryptography and Complexity of Group-theoretic Problems (Hardcover)
Series: Mathematical Surveys and Monographs
Expected to ship within 12 - 17 working days
|
This book is about relations between three different areas of
mathematics and theoretical computer science: combinatorial group
theory, cryptography, and complexity theory. It explores how
non-commutative (infinite) groups, which are typically studied in
combinatorial group theory, can be used in public key cryptography.
It also shows that there is remarkable feedback from cryptography
to combinatorial group theory because some of the problems
motivated by cryptography appear to be new to group theory, and
they open many interesting research avenues within group theory. In
particular, a lot of emphasis in the book is put on studying search
problems, as compared to decision problems traditionally studied in
combinatorial group theory. Then, complexity theory, notably
generic-case complexity of algorithms, is employed for
cryptanalysis of various cryptographic protocols based on infinite
groups, and the ideas and machinery from the theory of generic-case
complexity are used to study asymptotically dominant properties of
some infinite groups that have been applied in public key
cryptography so far. This book also describes new interesting
developments in the algorithmic theory of solvable groups and
another spectacular new development related to complexity of
group-theoretic problems, which is based on the ideas of compressed
words and straight-line programs coming from computer science.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.