Cryptography

Algebraic graphs and security of digital communications by Vasyl Ustimenko

By Vasyl Ustimenko

Show description

Read or Download Algebraic graphs and security of digital communications PDF

Similar cryptography books

Understanding Cryptography: A Textbook for Students and Practitioners

Cryptography is now ubiquitous – relocating past the normal environments, akin to govt communications and banking platforms, we see cryptographic options learned in net browsers, e mail courses, mobile phones, production platforms, embedded software program, shrewdpermanent structures, vehicles, or even clinical implants.

Fundamentals of cryptology

The security of delicate info opposed to unauthorized entry or fraudulent adjustments has been of leading situation during the centuries. smooth conversation concepts, utilizing desktops hooked up via networks, make all information much more liable to those threats. moreover, new matters have surfaced that didn't exist formerly, e.

Public Key Cryptography - PKC 2010: 13th International Conference on Practice and Theory in Public Key Cryptography, Paris, France, May 26-28, 2010, ... Computer Science Security and Cryptology)

This booklet constitutes the refereed complaints of the thirteenth foreign convention on perform and conception in Public Key Cryptography, PKC 2010, held in Paris, France, in may perhaps 2010. The 29 revised complete papers provided have been conscientiously reviewed and chosen from one hundred forty five submissions. The papers are geared up in topical sections on encryption; cryptanalysis; protocols; community coding; instruments; elliptic curves; lossy trapdoor services; discrete logarithm; and signatures.

Additional info for Algebraic graphs and security of digital communications

Sample text

K − 1 and d0 is the colour of plaintext, you obtain the plaintext u. Here we use the fact that u and c are vertices from the same component of D(k, q). In the package CRYPTIM we use this scheme in case s = t, degFi ≤ 1, in particular, for the problem of digital signatures. Remark 1. The probability to have same invariants a2 , . . , at+1 for two random messages is about 1/q t . 41 42 2. Simple graphs with special arcs and Cryptography Remark 2. If we want to speed up the computation of c(u) we may present it to our correspondent as product of several factors.

Let Γi be a free folder over the GF (q) , where the cover Γ is a q-regular tree. We could construct the ”Theory of Γi -codes” in which the distance in the graph Γi would play the role of a Hamming metric in the classical case of linear codes. , for each k the automorphism group acts transitively on pairs of vectors at a distance k. The distance in the graph Γi may not be distance transitive, but we have an ”asymptotical” distance transitivity, because of the distance transitivity of the tree Γ and the fact that lim(Γi ) = Γ.

Nowadays RC4 is not secure enough and not recommended for use in new system. Anyway we chose it for comparison, because of its popularity and high speed. RC4 vs graph based algorithm (128 bit key) 30 1B graph 2B graph 4B graph RC4 25 Time [s] 20 15 10 5 0 0 20 40 60 80 100 120 File size [MBytes] 140 160 180 45 46 2.

Download PDF sample

Rated 4.96 of 5 – based on 15 votes