• Title/Summary/Keyword: pseudorandom number generation

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PRaCto: Pseudo Random bit generator for Cryptographic application

  • Raza, Saiyma Fatima;Satpute, Vishal R
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.12
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    • pp.6161-6176
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    • 2018
  • Pseudorandom numbers are useful in cryptographic operations for using as nonce, initial vector, secret key, etc. Security of the cryptosystem relies on the secret key parameters, so a good pseudorandom number is needed. In this paper, we have proposed a new approach for generation of pseudorandom number. This method uses the three dimensional combinational puzzle Rubik Cube for generation of random numbers. The number of possible combinations of the cube approximates to 43 quintillion. The large possible combination of the cube increases the complexity of brute force attack on the generator. The generator uses cryptographic hash function. Chaotic map is being employed for increasing random behavior. The pseudorandom sequence generated can be used for cryptographic applications. The generated sequences are tested for randomness using NIST Statistical Test Suite and other testing methods. The result of the tests and analysis proves that the generated sequences are random.

Analysis of Pseudorandom Sequences Generated by Maximum Length Complemented Cellular Automata (최대길이 여원 CA 기반의 의사랜덤수열 분석)

  • Choi, Un-Sook;Cho, Sung-Jin
    • The Journal of the Korea institute of electronic communication sciences
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    • v.14 no.5
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    • pp.1001-1008
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    • 2019
  • A high-quality pseudorandom sequence generation is an important part of many cryptographic applications, including encryption protocols. Therefore, a pseudorandom number generator (PRNG) is an essential element for generating key sequences in a cryptosystem. A PRNG must effectively generate a large, high-quality random data stream. It is well known that the bitstreams output by the CA-based PRNG are more random than the bitstreams output by the LFSR-based PRNG. In this paper, we prove that the complemented CA derived from 90/150 maximum length cellular automata(MLCA) is a MLCA to design a PRNG that can generate more secure bitstreams and extend the key space in a secret key cryptosystem. Also we give a method for calculating the cell positions outputting a nonlinear sequence with maximum period in complemented MLCA derived from a 90/150 MLCA and a complement vector.

Dual-mode Pseudorandom Number Generator Extension for Embedded System (임베디드 시스템에 적합한 듀얼 모드 의사 난수 생성 확장 모듈의 설계)

  • Lee, Suk-Han;Hur, Won;Lee, Yong-Surk
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.46 no.8
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    • pp.95-101
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    • 2009
  • Random numbers are used in many sorts of applications. Some applications, like simple software simulation tests, communication protocol verifications, cryptography verification and so forth, need various levels of randomness with various process speeds. In this paper, we propose a fast pseudorandom generator module for embedded systems. The generator module is implemented in hardware which can run in two modes, one of which can generate random numbers with higher randomness but which requires six cycles, the other providing its result within one cycle but with less randomness. An ASIP (Application Specific Instruction set Processor) was designed to implement the proposed pseudorandom generator instruction sets. We designed a processor based on the MIPS architecture,, by using LISA, and have run statistical tests passing the sequence of the Diehard test suite. The HDL models of the processor were generated using CoWare's Processor Designer and synthesized into the Dong-bu 0.18um CMOS cell library using the Synopsys Design Compiler. With the proposed pseudorandom generator module, random number generation performance was 239% faster than software model, but the area increased only 2.0% of the proposed ASIP.

Analysis of Shrunken Sequences using LFSR and CA on GF(2p) (GF(2p) 위에서의 LFSR과 CA를 이용한 shrunken 수열의 분석)

  • Choi, Un-Sook;Cho, Sung-Jin;Kim, Jin-Gyoung
    • The Journal of the Korea institute of electronic communication sciences
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    • v.5 no.4
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    • pp.418-424
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    • 2010
  • Many researchers studied methods for the generation of maximum length pseudo random sequences. Sabater et al. analyzed shrunken sequences which are effectively generated by SG(Shrinking Generator) using CA(Cellular Automata). In this paper we propose a new SG which is called LCSG(LFSR and CA based Shrinking Generator) using an LFSR with control register and CA with generator register. The proposed shrunken sequences generated by LCSG have longer periods and high complexities than the shrunken sequences generated by the known method. And we analyze the generated sequences using LCSG.

Chaos Based Random Number Generation In Tiny MCU (소형마이콤에서의 카오스난수 발생 함수구현)

  • Hyun, Jae-Ho
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.3
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    • pp.1-4
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    • 2010
  • RS-485, communication bases from small network system must prepare in collision. The collision is that mean the data transfer breaks. For a stabilized communication chooses 1:N polling methods. But polling is low speed in addition to maybe overload Master device. So, usual N:N Prefers a communication. In this case, must be preparing to avoid collision or some solutions. Generally, to after collision retransmits after short time. It's called delay time for short time. When making a delay time, uses address of each systems. (Address of each node) If the many nodes collided, the each node has different delay time. When making a delay time, uses a usual random number. Making a random number is hard job. So uses a usual pseudorandom number. It is more difficult from small size MCU. The Chaos random number provides stabled value. Finally, when uses the Chaos random number, the stability and reliability of system get better.

Two Predecessor Nongroup Cellular Automata (두 개의 직전자를 갖는 Nongroup CA)

  • Cho, Sung-Jin;Choi, Un-Sook;Kim, Han-Doo;Hwang, Yoon-Hee;Kim, Jin-Gyoung
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2007.06a
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    • pp.423-426
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    • 2007
  • In this paper, we propose an algorithm for finding 90/150 Two Predecessor Nongroup Cellular Automata(TPNCA). Especially, we synthesize TPNCA for the minimal polynomial whose type is of the form xp(x) or x(x+1)p(x) using the proposed algorithm which is useful to study pseudorandom number generation, where p(x) is some primitive polynomial. Also we synthesize Two Predecessor Single Attractor CA and Two Predecessor Multiple Attractor CA which are useful to study hashing.

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