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- Pantelimon Stanica, Thor Martinsen, Sugata Gangopadhyay, Brajesh Kumar Singh
- Des. Codes Cryptogr.
- 2013

In this paper, we investigate the properties of generalized bent functions defined on $${\mathbb{Z}_2^n}$$ with values in $${\mathbb{Z}_q}$$ , where q ≥ 2 is any positive integer. We characterize the… (More)

- Sugata Gangopadhyay, Sumanta Sarkar, Ruchi Telang
- IACR Cryptology ePrint Archive
- 2009

The rth order nonlinearity of a Boolean function is an important cryptographic criterion in analyzing the security of stream as well as block ciphers. It is also important in coding theory as it is… (More)

- Ruchi Gode, Sugata Gangopadhyay
- IACR Cryptology ePrint Archive
- 2009

We study cubic monomial Boolean functions of the form Trn 1 (μx 2i+2j+1) where μ ∈ F2n . We prove that the functions of this form do not have any affine derivative if n 6= i+ j or n 6= 2i− j. Lower… (More)

- Pantelimon Stanica, Sugata Gangopadhyay, Ankita Chaturvedi, Aditi Kar Gangopadhyay, Subhamoy Maitra
- IEEE Transactions on Information Theory
- 2012

Parker considered a new type of discrete Fourier transform, called nega-Hadamard transform. We prove several results regarding its behavior on combinations of Boolean functions and use this theory to… (More)

- Sugata Gangopadhyay, Pradipkumar H. Keskar, Subhamoy Maitra
- Electronic Notes in Discrete Mathematics
- 2003

In 1983, Patterson and Wiedemann constructed Boolean functions on n = 15 input variables having nonlinearity strictly greater than 2n−1 − 2n−1/2. Construction of Boolean functions on odd number of… (More)

- Miodrag J. Mihaljevic, Sugata Gangopadhyay, Goutam Paul, Hiroshi Imai
- Periodica Mathematica Hungarica
- 2012

This paper considers security implications of k-normal Boolean functions when they are employed in certain stream ciphers. A generic algorithm is proposed for cryptanalysis of the considered class of… (More)

- Miodrag J. Mihaljevic, Sugata Gangopadhyay, Goutam Paul, Hiroshi Imai
- IET Information Security
- 2012

A novel technique for cryptanalysis of the stream cipher Grain-v1 is given. In a particular setting, the algorithms proposed in this study provide recovery of an internal state of Grain-v1 with the… (More)

- David Canright, Sugata Gangopadhyay, Subhamoy Maitra, Pantelimon Stanica
- Discrete Applied Mathematics
- 2011

In this paper, we investigate some algebraic and combinatorial properties of a special Boolean function on n variables, defined using weighted sums in the residue ring modulo the least prime p>=n. We… (More)

- Sugata Gangopadhyay, Enes Pasalic, Pantelimon Stanica
- IEEE Transactions on Information Theory
- 2012

In this paper, we consider the spectra of Boolean functions with respect to the action of unitary transforms obtained by taking tensor products of the Hadamard kernel, denoted by <i>H</i>, and the… (More)

In this paper we start developing a detailed theory of nega-Hadamard transforms. Consequently, we derive several results on ne-gabentness of concatenations, and partially-symmetric functions. We also… (More)