We present a simple construction of a small probability space on n bits for which any k bits are almost independent. The number of bits used to specify a point in the sample space is O(log log n + k + log ~), where e is the statistical difference between of the distribution induced on any k bit locations and the uniform distribution. This is asymptotically comparable to the construction recentl...

Sum-product message passing (belief propagation) was recently extended to messages/summaries with some nontrivial Markov structure. In this paper, a general update rule for Markov-structured messages is proposed, and further experimental results are presented for the synchronization of noisy linear-feedback shift register (LFSR) sequences.

We determine the imbalances of the keystreams produced by Achterbahn-80 and Achterbahn-128 in two different ways. The number of cyclically inequivalent keystreams produced by the keystream generators of Achterbahn-80 and Achterbahn-128 is determined. An abstract model for the keystream generator of a primitive NLFSR combination generator is used to justify the correlation attack introduced in [...

Arithmetic function modules which are available in many circuits can be utilized to generate test patterns and compact test responses. Recently, it was shown that an adder or an accumulator cannot be used as a bit serial test pattern generator due to the poor random properties of the generated sequences. Thus, accumulator-multiplier or adder-multiplier structures have been proposed. In this pap...

An advanced approach to design a fault coverage test pattern generator by utilizing linear feedback shift register called Bit Swap-LFSR. This could perform fault analysis and also minimize the power utilization at circuit level during tests, by generating three intermediate patterns between random patterns by decreasing the hardware components usage. The main purpose of having intermediate patt...

Multi-recipient encryption schemes have many advantages such as high efficiency, low network cost, and flexible object control. An asymmetric multi-recipient encryption scheme with indistinguishability under chosen-ciphertext attack is proposed. The encryption scheme uses an eighth order linear feedback shift register. The main features of this scheme are small size of ciphertext and the overal...

Marsaglia (2003) has described a class of“xorshift”random number generators (RNGs) with periods 2 − 1 for n = 32, 64, etc. We show that the sequences generated by these RNGs are identical to the sequences generated by certain linear feedback shift register (LFSR) generators using “exclusive or” (xor) operations on n-bit words, with a recurrence defined by a primitive polynomial of degree n.

Abstact A new design approach is proposed for a fault coverage circuit. In this design a linear feedback shift register which is called as LT_LFSR (Low Transition Linear Feedback Shift Register) is used. Using LT_LFSR reduces the power consumption by reducing the number of transitions during test mode. Power reduction is done by implementing two new test pattern generation methods in LFSR. In b...

This paper presents a method to reduce the power consumption of the popular linear feedback shift register. The proposed scheme is based on the gated clock design approach and it can offer a significant power reduction, depending on technological characteristics of the employed gates. A modified Linear Feedback Shift Register is designed in which power consumption is reduced by deactivating the...