Galois field arithmetic
Design of CMOS Galois field arithmetic logic unit using 120nm BSIM 4 model
... design Arithmetic and logical unit which is not presented in this ...an arithmetic unit based on QSD number system based on quaternary ...designing Arithmetic and logical ...
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Implementation of Reed Solomon Encoder and Decoder for Wireless Communications
... In Digital communication error correcting codes are used for detection and correction of errors. The most powerful and widely used is Reed Solomon error correcting codes and is part of channel coding in the family of ...
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High computational Speed with an Optimal Utilization of Resources for Forward Error Correcting Decoder
... This paper focuses on an optimal implementation of the Chien search process that requires less area with high speed in the decoding process of BCH codes [7]. There are some literatures that suggest the efficient Chien ...
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A novel, efficient CNTFET Galois design as a basic ternary-valued logic field
... of inputs, only one predominant output path is activated. Therefore, through our circuit design structure, the output is held at the expected stable voltage by appropriate volt- age division. Hence, analyzing the latest ...
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Unlikely intersections with Hecke translates of a special subvariety
... Abstract. We prove some cases of the Zilber–Pink conjecture on unlikely inter- sections in Shimura varieties. Firstly, we prove that the Zilber–Pink conjecture holds for intersections between a curve and the union of the ...
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LOW POWER HIGH-PERFORMANCE NON-BINARY LOW-DENSITY PARITY CHECK CODER (FNB-LDPC) OVER GF (2 m) USING CHECK-NODE UNIT,
... over Galois fields GF 2 m ...all field size of suggested Galois fields without the necessity to reconfigure the hardware structure to increase the performance in terms of hardware utilization, ...
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ARITHM E T I C A N DG E O ME T R YO F T H EO P E NP - A D I C D I S C
... criterion for good reduction, it follows that Y → D is actually a smooth lifting. 2 In particular, we obtain an “arithmetic reformulation” of the Oort Conjecture concerning the liftability of cyclic covers over an ...
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Design of a 32 bit Arithmetic Unit based on Composite Arithmetic and its Implementation on a Field Programmable Gate Array
... this field. While the proposal for Composite Arithmetic has been published (Holmes, 1997a), work is required to implement and test the ...the field of computer arithmetic and could benefit to ...
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AN ENHANCED GALOIS FIELD MULTIPLIER APPROACH FOR LOW AREA AND HIGH SPEED OPERATIONS
... In this paper we aimed to design 233*233 multiplier in galios field. The proposed implementation wass designed using verilog HDL and it is synthesiszed in XILINX 13.2 ISE. The synthesis results which are giving ...
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The Galois extensions induced by idempotents in a Galois algebra
... a Galois extension with Galois group G(e) for a central idempotent e of B if and only if B = Be ⊕ B(1− e) such that Be and B(1− e) are Galois extensions with Galois group induced by and ...
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Improved Arithmetic on Elliptic Curves over Prime Field
... Z and Z 3 setting to 1 , which make them fast. On the other hand, the conversion from projective, Jacobian and 4 DJC coordinates to affine coordinates involved field multiplication inversion , making these ...
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Comparative Analysis & Implementation of Galois Field Multiplier using Binary & One Hot Technique
... Architectures for Cryptographic Applications”. In Marc Joyce (Ed.): The Cryptographers´ Track at the RSA Conference CT-RSA 2003, volume LNCS 2616, pp. 158-175, San Francisco, CA, USA, April 2003. [9]. G.C. Ahlquist, B. ...
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Forward Error Correction For Gigabit Automotive Ethernet using RS(450,406) Encoder
... International Telecommunication Union (ITU) legally made a Reed Solomon (RS) FEC in optical transport network, FEC also used in 10Gbps network elongation in Ethernet and also in MAC, PHY[7]. IEEE 802.3 standard requires ...
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Commuting-Liftable Subgroups of Galois Groups
... Thus, what remains to be shown is that H/T is cyclic and this will be done in steps 1-5 below. In the case where n = 1, this claim can be obtained from [Koe98] Lemma 3.3, a form of which also appears in [Koe95], and/or ...
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Construction of lattice designs using MOLS
... any field is repeated in the different ...each field in the multiplier combinations, we can not get more than (s-1) multipliers, where ’s’ is the minimum factor of ...the field of ’s’ and so not more ...
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On Azumaya Galois extensions and skew group rings
... Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is ...
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Study of Finite Field over Elliptic Curve: Arithmetic Means
... The field is chosen with finitely large number of points suited for cryptographic operations. Following section explains the EC operations on finite fields. The operations in these sections are defined on affine ...
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On central commutator Galois extensions of rings
... commutator Galois extension in terms of Galois H- separable extensions and Azumaya Galois extensions, respectively, and prove the converse of a theorem for a Galois H-separable extension as ...
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... current Galois theory is to characterize those profinite groups which appear as absolute Galois groups of various ...of Galois groups of p-extensions is an important step toward a ...counting ...
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Galois and Class Field Theory for Quantum Chemists
... number field by a polynomial pol; nfgaloisconj(nfs) returns the automorphisms of the field nfs; the command subst(REP,y,z) is used to do the substitution of ’z’ to the variable ’y’ in some representation ...
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