Abstract. This paper presents a new True Random Number Generator (TRNG) based on an analog Phase-Locked Loop (PLL) implemented in a digital Altera Field Programmable Logic Device (FPLD). Starting with an analysis of the one available on chip source of randomness -the PLL synthesized low jitter clock signal, a new simple and reliable method of true randomness extraction is proposed. Basic assumptions about statistical properties of jitter signal are confirmed by testing of mean value of the TRNG output signal. The quality of generated true random numbers is confirmed by passing standard NIST statistical tests. The described TRNG is tailored for embedded System-On-a-ProgrammableChip (SOPC) cryptographic applications and can provide a good quality true random bit-stream with throughput of several tens of kilobits per second. The possibility of including the proposed TRNG into a SOPC design significantly increases the system security of embedded cryptographic hardware.
We demonstrate a new high-entropy digital element suitable for True Random Number Generators (TRNGs) embedded in Field Programmable Gate Arrays (FPGAs). The original idea behind this principle lies in the randomness extraction on oscillatory trajectory when a bi-stable circuit is resolving a metastable event. Although such phenomenon is well known in the field of synchronization flip-flops, this feature has not been applied for TRNG designs. We propose a new bi-stable structure-Transition Effect Ring Oscillator (TERO) where oscillatory phase can be forced on demand and be reliably synthesized in FPGA. Randomness is represented as a variance of the TERO oscillations number counted after each excitation. Variance is highly dependent on the internal noise of logic cells and can be used easily for reliable instant inner testing of each generated bit. Our proposed mathematical model, simulations and hardware experiments show that TERO is significantly more sensitive to intrinsic noise in FPGA logic cells and less sensitive to global perturbations than a ring oscillator composed from the same elements. The experimental TERO-based TRNG passes NIST 800-22 tests.
This paper presents an evaluation of the Rijndael cipher, the Advanced Encryption Standard winner, from the viewpoint of its implementation in a Field Programmable Devices (FPD). Starting with an analysis of algorithm's general characteristics a general cipher structure is described. Two different methods of Rijndael algorithm mapping to FPD are analyzed and suitability of available FPD families is evaluated. Finally, results of proposed mapping implemented in Altera FLEX, ACEX and APEX FPD are presented and compared with the fastest known Xilinx FPGA implementation. Results obtained are significantly faster than that of other implementations known up to now. 1 There are several vendors of FPD. These vendors use different names for their FPD-e.g. Field Programmable Gate Arrays (FPGA) by Xilinx and Complex Programmable Logic Devices (CPLD) by Altera. FPD abbreviation is used as common name for all of them.
The security of the most popular asymmetric cryptographic scheme RSA depends on the hardness of factoring large numbers. The best known method for factorization large integers is the General Number Field Sieve (GNFS). Recently, architectures for special purpose hardware for the GNFS have been proposed [5,12]. One important step within the GNFS is the factorization of mid-size numbers for smoothness testing, an efficient algorithm for which is the Elliptic Curve Method (ECM). Since the smoothness testing is also suitable for parallelization, it is promising to improve ECM via special-purpose hardware. We show that massive parallel and cost efficient ECM hardware engines can improve the cost-time product of the RSA moduli factorization via the GNFS considerably. The computation of ECM is a classical example for an algorithm that can be significantly accelerated through special-purpose hardware. In this work, we present an efficient hardware implementation of ECM to factor numbers up to 200 bits, which is also scalable to other bit lengths. For proof-ofconcept purposes, ECM is realized as a softwarehardware co-design on an FPGA and an embedded microcontroller. This appears to be the first pub-lication of a realized hardware implementation of ECM, and the first description of GNFS acceleration through hardware-based ECM.
We present a new 3D adaptive filtering approach capable of detecting and removing impulsive noise in image/video sequences. The proposed method takes advantage of switching median schemes and robust lower-upper-middle (LUM) smoothing characteristics. Simulation studies reported in this article indicate that the proposed filtering scheme achieves an excellent trade-off between noise attenuation and detail preserving characteristics, and clearly outperforms previously introduced approaches in terms of subjective and objective image quality measures. Besides the filter analysis and the testing of its performance, an important part of this article discusses the filter implementation in Altera field programmable logic devices (FPLD). Simulation studies indicate that the proposed method can be efficiently implemented in hardware and is suitable for real-time image/ video processing applications.
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