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New Ternary and Quaternary Sequences with Two-Level Autocorrelation

by Honggang Hu, Guang Gong
"... Pseudorandom sequences with good correlation properties are widely used in communications and cryptography. The search of new sequences with two-level autocorrelation has been a very interesting problem for decades. In 2002, Gong and Golomb proposed the iterative decimation-Hadamard transform (DHT) ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Pseudorandom sequences with good correlation properties are widely used in communications and cryptography. The search of new sequences with two-level autocorrelation has been a very interesting problem for decades. In 2002, Gong and Golomb proposed the iterative decimation-Hadamard transform (DHT

The decimation-Hadamard transform of two-level autocorrelation sequences

by Guang Gong, Solomon W. Golomb - IEEE Trans. Inform. Theory , 2002
"... Abstract—A new method to study and search for two-level autocorrelation sequences for both binary and nonbinary cases is developed. This method iteratively applies two operations: deci-mation and the Hadamard transform based on general orthogonal functions, referred to as the decimation-Hadamard tra ..."
Abstract - Cited by 7 (7 self) - Add to MetaCart
Abstract—A new method to study and search for two-level autocorrelation sequences for both binary and nonbinary cases is developed. This method iteratively applies two operations: deci-mation and the Hadamard transform based on general orthogonal functions, referred to as the decimation

GENERALIZED P-ARY SEQUENCES WITH TWO-LEVEL AUTOCORRELATION

by Xinjiao Chen, Huanguo Zhang
"... In this paper, we find a family of-ary sequences with ideal two-level autocorrelation with symbols in the finite field. The proposed family may be considered as a generalization of the well-known nonbinary sequences introduced by Helleseth and Gong. Using the constructed sequences and-sequences, we ..."
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In this paper, we find a family of-ary sequences with ideal two-level autocorrelation with symbols in the finite field. The proposed family may be considered as a generalization of the well-known nonbinary sequences introduced by Helleseth and Gong. Using the constructed sequences and-sequences, we

Realizations of Decimation Hadamard Transform for Special Classes of Binary Sequences with Two-level Autocorrelation

by Nam Yul Yu, Guang Gong
"... In an effort to search for a new binary two-level autocorrelation sequence, the decimation-Hadamard transform (DHT) based on special classes of known binary sequences with two-level autocorrelation is investigated. It is theoretically proved that some realizations of a binary generalized Gordon-Mill ..."
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In an effort to search for a new binary two-level autocorrelation sequence, the decimation-Hadamard transform (DHT) based on special classes of known binary sequences with two-level autocorrelation is investigated. It is theoretically proved that some realizations of a binary generalized Gordon

Realizations from Decimation Hadamard Transform for Special Classes of Binary Sequences with Two-level Autocorrelation

by Nam Yul Yu, Guang Gong
"... Abstract. In an eort to search for a new binary two-level autocorre-lation sequence, the decimation-Hadamard transform (DHT) based on special classes of known binary sequences with two-level autocorrela-tion is investigated. In the second order DHT of a binary generalized Gordon-Mills-Welch (GMW) se ..."
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Abstract. In an eort to search for a new binary two-level autocorre-lation sequence, the decimation-Hadamard transform (DHT) based on special classes of known binary sequences with two-level autocorrela-tion is investigated. In the second order DHT of a binary generalized Gordon-Mills-Welch (GMW

New Nonbinary Sequences With Ideal Two-Level Autocorrelation Function

by Tor Helleseth, Guang Gong , 2001
"... We find new families of nonbinary sequences of period p n 1 with symbols from a finite field F p for any p 3. The sequences have two-level ideal autocorrelation functions and are generalizations of recently found ternary sequences with ideal autocorrelation. Difference sets with parameters ( p n 1 ..."
Abstract - Cited by 6 (4 self) - Add to MetaCart
We find new families of nonbinary sequences of period p n 1 with symbols from a finite field F p for any p 3. The sequences have two-level ideal autocorrelation functions and are generalizations of recently found ternary sequences with ideal autocorrelation. Difference sets with parameters ( p n 1

1 On a Connection between Ideal Two-level Autocorrelation and Almost Balancedness of p-ary Sequences*

by Yuri L. Borissov
"... ar ..."
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Abstract not found

unknown title

by Guang Gong A Hong-yeop Song , 2006
"... www.elsevier.com/locate/dam Two-tuple balance of non-binary sequences with ideal two-level autocorrelation � ..."
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www.elsevier.com/locate/dam Two-tuple balance of non-binary sequences with ideal two-level autocorrelation �

How much should we trust differences-in-differences estimates?

by Marianne Bertrand, Esther Duflo, Sendhil Mullainathan , 2003
"... Most papers that employ Differences-in-Differences estimation (DD) use many years of data and focus on serially correlated outcomes but ignore that the resulting standard errors are inconsistent. To illustrate the severity of this issue, we randomly generate placebo laws in state-level data on femal ..."
Abstract - Cited by 828 (1 self) - Add to MetaCart
into account the auto-correlation of the data) works well when the number of states is large enough. Two corrections based on asymptotic approximation of the variance-covariance matrix work well for moderate numbers of states and one correction that collapses the time series information into a “pre” and “post

Hardware Implementations of Multi-output Welch-Gong Ciphers

by C. H. Lam, M. Aagaard, G. Gong
"... The WG family of ciphers provides keystreams with mathematically proven randomness properties such as ideal two-level autocorrelation, balance, long period, ideal tuple distribution, and high and exact linear complexity. In this paper, we extend the mathematical analysis of WG family of ciphers to m ..."
Abstract - Cited by 4 (3 self) - Add to MetaCart
The WG family of ciphers provides keystreams with mathematically proven randomness properties such as ideal two-level autocorrelation, balance, long period, ideal tuple distribution, and high and exact linear complexity. In this paper, we extend the mathematical analysis of WG family of ciphers
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