Performance Evaluation of Scalar Multiplication in Elliptic Curve Cryptography Implementation using Different Multipliers Over Binary Field GF (2233)

Abdul-Hadi, Alaa M.; Saif-aldeen, Yousraa abdul-sahib; Tawfeeq, Firas Ghanim

doi:10.31026/j.eng.2020.09.04

Cited by 5 publications

(4 citation statements)

References 12 publications

(2 reference statements)

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“…In this example, a line will be drawn between the point (P) and the point (Q), point(R) is the mirrored point on the x-axis of the point obtained by intersecting the line with an elliptic curve. Figure (2) depicts an elliptic curve with an addition point [2], [13].…”

Section: Point Addition P + Qmentioning

confidence: 99%

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Elliptic Curve Cryptosystem for Digital multimedia, General Review

Abbas,

Ayad Abd-al-Kahhar AbdulSalam

2023

AJEST

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Various Cryptography algorithms are used to keep the transmission of data safe from intruder and to secure the connection between sender and receiver. This article provides an overview of ECC, including the algorithm process, fundamental protocols, and different ECC systems and applications. EC over fields also represents by numerous graphical representations of cryptographic processes. Comparison tables are included that list the ratio of key size between ECC and RSA (the nearest method to ECC), in factors of overhead, power availability and required storage, which indicates fast running with less bandwidth in case of elliptic curve method. In the other hand some previous works related to the topic were compared according to the functions of properties, measurement methods, and type of the data used, results were collected in traceable manner for the purpose of making it available to researchers and those interested in ECC.

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Section: Point Addition P + Qmentioning

confidence: 99%

“…This point results from mirroring the point R which results from the doubling. Figure (3) explains point doubling on an elliptic curve [2], [13]. .…”

Section: Point Doubling P+pmentioning

confidence: 99%

Elliptic Curve Cryptosystem for Digital multimedia, General Review

Abbas,

Ayad Abd-al-Kahhar AbdulSalam

2023

AJEST

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“…Gate count and adder count are high when compare to other multiplier so it occupy more area in array multiplier. In Baugh Wooley multiplier the operation speed is very much high when compared to array multiplier but delay and power consumption are very less [17][18][19][20]. Whereas in Wallace multiplier speed is high and power consumption is high when compared to Baugh Wooley multiplier.…”

Section: Limitationmentioning

confidence: 99%

A Fresh Design of Power Effective Adapted Vedic Multiplier for Modern Digital Signal Processors

Gavaskar¹,

Malathi²,

Ravivarma³

et al. 2021

Wireless Pers Commun

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The Multiply Accumulate (MAC) unit constructed using antiquated Vedic mathematical practice and the e ciency of the vertical and transversely of Vedic approach for multiplication, which gives a distinction in genuine cycle of Multiplier itself. Vedic-Mathematics is depend on 16-Sutras, in that Urdhva-Triyakbhyam (UT) more productive one. It literally means vertical and cross wise operations. It eliminates unwanted multiplication and allows the parallel creation of partial products and addition steps. The adders are utilized to append the partial-product generated in the Vedic mathematics methodology to drops the combinational lag. MAC is an essential unit in the digital signal processors, to show the characters like speed, power as well as area. Hence, ner multiplier plans are to increase the order of the system. The Modi ed sum product algorithm based Vedic multiplier is one such promising solution. It has a rapid multiplication process and reaches a less calculation complexity above its traditional multiplier. Array multiplier, Baugh-Wooley multiplier, Wallace-tree multiplier and Vedic multiplier were created in the existing work. In proposed work Vedic multiplier, using modi ed sum product algorithm was designed. The structure design coded in verilog and parameter analysis was done in Xilinx. The parameters like delay as well as power were compare between existing and proposed. When comparing with different multiplier with our proposed work delay get reduced. Comparing with existing multiplier the proposed 4x4 Vedic multiplier have 49.12% reduction in delay. Comparing with existing multiplier the proposed Vedic 4x4 multiplier have 42.51% reduction in power.

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“…Decryption (D) is the inverse of encryption, where P is extracted from C using the decryption key (Kd). Below are some equations illustrating the mathematical model of the above processes [3]:…”

Section: Introductionmentioning

confidence: 99%

Hybrid Efficient Stream Cipher KeyGenerator Based on LFSR's and Chaotic Map

H. Abbaas,

A. AbdulSalam

2024

IHJPAS

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Communication security that depends on chaos can be considered as a new approach which provides protection and security of communications and maintains confidentiality because Chaos theory can be implemented in cryptosystem successfully. A stream cipher, on the other hand, is a type of symmetric cryptosystem in which the plaintext is divided into small entities known as characters. The key in stream cipher is typically generated by a random bit generator. Many key stream generators employ linear feedback shift registers (LFSRs). LFSR systems are made up of a group of LFSR units and a combining function (CF) unit. The plaintext is encrypted one bit at a time. The key is fed into a random bit generator, which produces a long series of binary signals. This "key-stream" k is then combined with plaintext m, typically via a bit-wise XOR (Exclusive-OR modulo 2 addition), to produce the ciphertext stream, which employs the same random bit generator and seed. In this paper we will introduce a new stream cipher keygenerator which using a hybrid between chaotic and combination of Linear Feedback Shift Registers (LFSR's). The proposed generator can be used to protect different types of data files (text, image, audio and video). Many kinds of tests are applied to specifying the goodness of the proposed keygenerator. The results of testing prove the efficiency of the suggested system.

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Performance Evaluation of Scalar Multiplication in Elliptic Curve Cryptography Implementation using Different Multipliers Over Binary Field GF (2233)

Cited by 5 publications

References 12 publications

Elliptic Curve Cryptosystem for Digital multimedia, General Review

Elliptic Curve Cryptosystem for Digital multimedia, General Review

A Fresh Design of Power Effective Adapted Vedic Multiplier for Modern Digital Signal Processors

Hybrid Efficient Stream Cipher KeyGenerator Based on LFSR's and Chaotic Map

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