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- Danilo Gligoroski, Vlastimil Klima, Svein Johan Knapskog, Mohamed El-Hadedy, Jorn Amundsen
- 2009 Proceedings of the 1st International…
- 2009

The cryptographic hash function Blue Midnight Wish was submitted as a candidate for SHA-3 hash competition organized by National Institute of Standards and Technology (NIST).

We have designed a new class of multivariate quadratic trapdoor functions. The trapdoor functions are generated by quasigroup string transformations based on a class of quasigroups called multivariate quadratic quasigroups (MQQ). The public key schemes using these trapdoor functions are bijective mappings, they do not perform message expansions and can be… (More)

- Danilo Gligoroski, Smile Markovski, Svein J. Knapskog
- IACR Cryptology ePrint Archive
- 2008

We have designed a new class of public key algorithms based on quasigroup string transformations using a specific class of quasigroups called multivariate quadratic quasigroups (MQQ). Our public key algorithm is a bijective mapping, it does not perform message expansions and can be used both for encryption and signatures. The public key consist of n… (More)

Given a nite setA we consider quasigroup operations n on A and we use them to de ne transformations E n D n A A where A is the set of all nite strings with members from A We show that the mappings E n and D n have several useful properties suitable for many purposes in cryptography coding theory de ning and improving pseudo random generators

- Danilo Gligoroski, Rune Steinsmo Odegard, +5 authors Mohamed El-Hadedy
- 2009 Proceedings of the 1st International…
- 2009

In this paper we describe in details the tweaked cryptographic hash function Edon-R that we denote as Edon-R′. Edon-R was submitted as a candidate for SHA-3 hash competition organized by National Institute of Standards and Technology (NIST). The difference between originally submitted version of Edon-R and version Edon-R′ is in the added… (More)

- Danilo Gligoroski, Rune Steinsmo Ødegård, +4 authors Smile Markovski
- INTRUST
- 2011

We present MQQ-SIG, a signature scheme based on “Multivariate Quadratic Quasigroups”. The MQQ-SIG signature scheme has a public key consisting of n 2 quadratic polynomials in n variables where n = 160, 192, 224 or 256. Under the assumption that solving systems of n 2 MQQ’s equations in n variables is as hard as solving systems of random quadratic equations,… (More)

In this article we apply a method for encrypting messages based on the properties of the quasigroups According to the analysis given in the article the method is extremely secure Beside that the plain text and its cipher text are of the same length and the encoding is of stream nature guarantying a very fast implementation AMS Mathematics Subject Classi… (More)

- Danilo Gligoroski
- ArXiv
- 2004

In this paper we design a stream cipher that uses the algebraic structure of the multiplicative group ZZ∗p (where p is a big prime number used in ElGamal algorithm), by defining a quasigroup of order p− 1 and by doing quasigroup string transformations. The cryptographical strength of the proposed stream cipher is based on the fact that breaking it would be… (More)

- Danilo Gligoroski, Svein J. Knapskog, Suzana Andova
- Security and Management
- 2006

In this paper we re-open a 25 years old question of joint encryption and error-correction coding, named here as Cryptcoding. Cryptcoding is a procedure in which encryption/decryption and error-correction coding/decoding are performed in a single step. We discuss the advantages of this approach over the traditional First-Encrypt-Then-Encode approach. To our… (More)

- Danilo Gligoroski, Smile Markovski, Svein J. Knapskog
- The eSTREAM Finalists
- 2008