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Search Results: 1 - 10 of 4301 matches for " Ranjan?Ghosh "
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Search for Monic Irreducible Polynomials with Decimal Equivalents of Polynomials over Galois Field GF(pq)  [PDF]
Sankhanil Dey, Ranjan Ghosh
Open Journal of Discrete Mathematics (OJDM) , 2018, DOI: 10.4236/ojdm.2018.81003
Abstract: Substitution boxes or S-boxes play a significant role in encryption and de-cryption of bit level plaintext and cipher-text respectively. Irreducible Poly-nomials (IPs) have been used to construct 4-bit or 8-bit substitution boxes in many cryptographic block ciphers. In Advance Encryption Standard, the ele-ments of 8-bit S-box have been obtained from the Multiplicative Inverse (MI) of elemental polynomials (EPs) of the 1st IP over Galois field GF(28) by adding an additive element. In this paper, a mathematical method and the algorithm of the said method with the discussion of the execution time of the algorithm, to obtain monic IPs over Galois field GF(pq) have been illustrated with example. The method is very similar to polynomial multiplication of two polynomials over Galois field GF(pq) but has a difference in execution. The decimal equivalents of polynomials have been used to identify Basic Polynomials (BPs), EPs, IPs and Reducible polynomials (RPs). The monic RPs have been determined by this method and have been cancelled out to produce monic IPs. The non-monic IPs have been obtained with multiplication of α where?α∈ GF(pq)?and assume values from 2 to (p 1) to monic IPs.
A Review of Existing 4-Bit Crypto S-Box Cryptanalysis Techniques and Two New Techniques with 4-Bit Boolean Functions for Cryptanalysis of 4-Bit Crypto S-Boxes*  [PDF]
Sankhanil Dey, Ranjan Ghosh
Advances in Pure Mathematics (APM) , 2018, DOI: 10.4236/apm.2018.83015
Abstract: 4-bit linear relations play an important role in cryptanalysis of 4-bit crypto S-boxes. 4-bit finite differences have also been a major part of cryptanalysis of 4-bit S-boxes. Existence of all 4-bit linear relations have been counted for all of 16 input and 16 output 4-bit bit patterns of 4-bit Crypto S-boxes said as S-boxes has been reported in Linear Cryptanalysis of 4-bit S-boxes. Count of existing finite differences from each element of output S-boxes to distant output S-boxes have been noted in Differential Cryptanalysis of S-boxes. In this paper a brief review of these two cryptanalytic methods for 4-bit S-boxes has been introduced in a very lucid and conceptual manner. Two new analysis techniques, one to search for the existing linear approximations among the input vectors (IPVs) and output Boolean functions (BFs) of a particular S-box has also been introduced in this paper. The search is limited to find the existing linear relations or approximations in the contrary to count the number of existent linear relations among all 16, 4-bit input and output bit patterns within all possible linear approximations. Another is to find number of balanced BFs in difference output S-boxes. Better the number of Balanced BFs, Better the security.
Use of Bacteriocin Producing Lactococcus lactis subsp. lactis LABW4 to Prevent Listeria monocytogenes Induced Spoilage of Meat  [PDF]
Soma Barman, Ranjan Ghosh, Narayan C. Mandal
Food and Nutrition Sciences (FNS) , 2014, DOI: 10.4236/fns.2014.522224
Abstract: A bacteriocin producing strain of Lactococcus lactis subsp. lactis LABW4 was isolated from naturally fermented milk product which exhibited strong antibacterial activity against Listeria monocytogenes MTCC657, a food spoilage psychrophilic organism. Both cell free and heat killed supernatants of LABW4 were effective to produce zones of inhibition against L. monocytogenes in vitro. The antibacterial metabolite(s) of LABW4 showed strong cidal effect on the growth of L. monocytogenes. Meat samples, mixed with heat killed supernatant of LABW4 when inoculated with Listeria, remain fresh up to 25 days in refrigerated condition whereas spoilage started immediately after 24 hours of inoculation for control sets. Enhancement of Lactate dehydrogenase of L. monocytogenes upon treatment with LABW4 cell free supernatant suggested its lytic mode of action. Cell lysis or degradations were also supported by scanning electron micrograph of treated cells.
Transverse vibration of spinning disk with attached distributed patch and discrete point masses using finite element analysis
V Ranjan, MK Ghosh
International Journal of Engineering, Science and Technology , 2009,
Abstract: Free and forced transverse vibration characteristics of a thin spinning disc attached to a rigid core have been investigated by finite element analysis using ANSYS software. The effect of discrete point masses and patches of distributed masses attached at the periphery of the plate on free and forced vibration behavior of a spinning disc has been investigated. Discrete point masses and distributed patch masses have been placed at higher strain regions to look into its influence on the natural frequencies, mode shapes and response of the plate to external excitation. Results for eight and sixteen point masses and patches on the vibration characteristics have been compared. It has been observed that discrete patches and point masses have significant influence on the modal frequencies and these can also act as dynamic vibration absorbers in reducing vibration of a spinning disc. It has also been shown that discrete patches of piezoelectric patches can also be used to actively control vibration of the spinning disc.
Is There a Problem with Quantum Gravitation?
Ranjan Kumar Ghosh
Physics , 2002,
Abstract: We argue that Quantum Gravitation forces us to sum over metrics of all signatures.
On the low temperature series expansion for the diagonal correlation functions in the two-dimensional Ising model
Ranjan Kumar Ghosh
Physics , 2005,
Abstract: A previously tested differential equation method for generating low temperature series expansion for diagonal spin-spin correlation functions in the d=2 Ising model is extended to generate the non-universal terms for arbitrary separation of the spins. This extends the earlier calculations of these correlation functions.
A note on the Lee-Yang circle theorem
Ranjan Kumar Ghosh
Physics , 2012,
Abstract: A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.
Duality and even number spin-correlation functions in the two dimensional square lattice ising model
Ranjan Kumar Ghosh
Physics , 2007,
Abstract: The Kramers-Wannier duality is shown to hold for all the even number spin correlation functions of the two dimensional square lattice Ising model in the sense that the high temperature $(T>T_{c})$ expressions for these correlation functions are transformed into the low temperature $(T
Sukumar Gowri,Ghosh Asit Ranjan
International Journal of Research in Ayurveda and Pharmacy , 2011,
Abstract: Lactic Acid Bacteria (LAB) with probiotic potentials isolated from fermented food of Indian origin were investigated for antioxidant activities. The antioxidant potential of the Cell Free Extracts (CFEs) of the nine probiotic isolates (GS3, GS4, GS7, GS9, GS14, GS16, GS17, GS20 and GS21) were investigated through different assays namely the Reducing power, DPPH free radical scavenging and β-Carotene bleaching assay. The Cell Free Extracts of isolates demonstrated reducing activity in the range of 60 to 92.66 μg/μl ascorbic acid equivalence; with the maximum activity being observed with the CFE of Pediococcus GS4 isolate (92.66μg/μl). DPPH free radical scavenging activity of the CFE of isolates was observed in the range of 48.67-91.26%. The β-Carotene bleaching assay was performed on CFE of isolates showing maximum activity in the above two assays. 150 μl of CFE of GS4 exhibited the maximum zone of colour retention of 22.00±1.000 mm and Butylated hydroxy toluene (1mg/100 μl) as positive control exhibited an average zone of colour retention of 27.00±0.577mm. 150 μl CFE of GS17 exhibited lower antioxidant activity in comparison to CFE of GS4 with the average zone of colour retention being 20.30±0.577mm. This extends the functional use of Probiotics as nutraceutical with antioxidant potential and may find therapeutic application for degenerative diseases related to ageing.
Ranjan K. Ghosh,Sumathi Rao
Physics , 1995,
Abstract: We find that the energy spectra of four and five anyons in a harmonic potential exhibit some mirror symmetric (reflection symmetric about the semionic statistics point $\theta=\pi/2$) features analogous to the mirror symmetry in the two and three anyon spectra. However, since the $\ell=0$ sector remains non-mirror symmetric, the fourth and fifth virial coeffients do not reflect this symmetry.
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