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Pagodas and Sackcloth: Ternary Sequences of Considerable Linear Complexity
, 1997
"... The zerosquare table, as an alternative to the established LCP notation for measuring the linear complexity of a qary sequence, offers a more readily applicable tool for investigating cipher keystreams. After a look at the classical problem of constructing powerfree sequences, we turn to the (ana ..."
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minimum value of unity. However, a remarkable class of ternary sequences exists whose deficiency is apparently 2 (at worst 1x1 zerosquares), modulo any prime q j 3 (mod 4); we give constructions for some of these and discuss the geometry of their tables, but we have no proofs of our claims. Another
Tables of graphs of binary and ternary sequence’s differentiation
"... In [1]–[3] V.I. Arnold studied the following dynamical system generated by the operator of the finite differentiation. Let x be a cyclic sequence of n elements of the finite field Fq (the first element immediately follows the nth one). Let M be the set of such sequences. Let us define the operation ..."
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Cited by 2 (0 self)
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In [1]–[3] V.I. Arnold studied the following dynamical system generated by the operator of the finite differentiation. Let x be a cyclic sequence of n elements of the finite field Fq (the first element immediately follows the nth one). Let M be the set of such sequences. Let us define
A note on ternary sequences of strings of 0 and 1
, 2008
"... B. D. Acharya has conjectured that if ( Ai: i = 1,2,...,2 X  − 1) is a permutation of all nonempty subsets of a set X with at least two elements such that for each even positive integer j < 2 X  − 1, Aj−1△Aj△Aj+1 = ∅, then X  = 2. In this article, we show that if the cardinality of a set ..."
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B. D. Acharya has conjectured that if ( Ai: i = 1,2,...,2 X  − 1) is a permutation of all nonempty subsets of a set X with at least two elements such that for each even positive integer j < 2 X  − 1, Aj−1△Aj△Aj+1 = ∅, then X  = 2. In this article, we show that if the cardinality of a set X is more than four, then a permutation as described above indeed exists.
Design and Implementation of the Ternary Sequences with Good Merit Factor Values
"... The pulse compression codes with low autocorrelation sidelobe levels and high Merit Factor (MF) are useful in radar, channel estimation and spread spectrum communication applications. One of the main criteria of good pulse compression is MF. A sequence with high MF can be considered as best sequence ..."
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sequence. In this paper an efficient VLSI architecture is proposed for generation and implementation of the ternary sequences using Finite State Machines [FSM]. This VLSI architecture is implemented on the FPGA as it provides the flexibility of reconfigurability and reprogramability The ternary pulse
Multipath Beamforming UWB Signal Design Based on Ternary Sequences
"... We study an adaptive transmission approach that exploits the increased phase coherence of ultrawideband (UWB) channels with a “discrete ” number of reflectors relative to narrowband wireless channels. The proposed multipath beamforming technique suggests selecting a ternary or multilevel sequence f ..."
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We study an adaptive transmission approach that exploits the increased phase coherence of ultrawideband (UWB) channels with a “discrete ” number of reflectors relative to narrowband wireless channels. The proposed multipath beamforming technique suggests selecting a ternary or multilevel sequence
Large Families of Ternary Sequences with Aperiodic Zero Correlation Zones for a MCDSCDMA System
"... A new method for generating families of ternary spreading sequences is presented. The sequences have aperiodic zero correlation zones and large families are created for a specific sequence length. The sequences are proposed as spreading sequences to provide high capacity and cancel multipath and mul ..."
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Cited by 3 (0 self)
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A new method for generating families of ternary spreading sequences is presented. The sequences have aperiodic zero correlation zones and large families are created for a specific sequence length. The sequences are proposed as spreading sequences to provide high capacity and cancel multipath
oro.open.ac.uk LARGE FAMILIES OF TERNARY SEQUENCES WITH APERIODIC ZERO CORRELATION ZONES FOR A MCDSCDMA SYSTEM
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New Ternary and Quaternary Sequences with TwoLevel Autocorrelation
"... Pseudorandom sequences with good correlation properties are widely used in communications and cryptography. The search of new sequences with twolevel autocorrelation has been a very interesting problem for decades. In 2002, Gong and Golomb proposed the iterative decimationHadamard transform (DHT) ..."
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factorization can be obtained. In this paper, we find many new ternary or quaternary sequences with twolevel autocorrelation using the secondorder decimationHadamard transform. The period of such sequences is 2 n − 1. Index Terms. Pseudorandom sequence, ternary sequence, quaternary sequence, two
Ternary Expansions of Powers of 2
, 2007
"... P. Erdős asked how frequently 2 n has a ternary expansion that omits the digit 2. He conjectured this holds only for finitely many values of n. We generalize this question to consider iterates of two discrete dynamical systems. The first considers ternary expansions of real sequences xn(λ) = ⌊λ2 n ..."
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Cited by 8 (3 self)
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P. Erdős asked how frequently 2 n has a ternary expansion that omits the digit 2. He conjectured this holds only for finitely many values of n. We generalize this question to consider iterates of two discrete dynamical systems. The first considers ternary expansions of real sequences xn(λ) = ⌊λ2 n
On Ternary Complementary Pairs
"... Let A = fa 0 ; : : : ; a ` 1 g, B = fb 0 ; : : : ; b ` 1 g be two nite sequences of length `. Their nonperiodic autocorrelation function N A;B (s) is dened as: NA;B (s) = ` 1 s X i=0 a i a i+s + ` 1 s X i=0 b i b i+s ; s = 0; : : : ; ` 1; where x is the complex conjugate of x. If N ..."
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Cited by 3 (3 self)
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Let A = fa 0 ; : : : ; a ` 1 g, B = fb 0 ; : : : ; b ` 1 g be two nite sequences of length `. Their nonperiodic autocorrelation function N A;B (s) is dened as: NA;B (s) = ` 1 s X i=0 a i a i+s + ` 1 s X i=0 b i b i+s ; s = 0; : : : ; ` 1; where x is the complex conjugate of x
Results 1  10
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246