scholarly journals Partial autocorrelation functions of the fractional ARIMA processes with negative degree of differencing

2004 ◽  
Vol 89 (1) ◽  
pp. 135-147 ◽  
Author(s):  
Akihiko Inoue ◽  
Yukio Kasahara
Keyword(s):  
Autocorrelation Functions ◽  
Fractional Arima ◽  
Arima Processes

scholarly journals On cryptographic properties of (n + 1)-bit S-boxes constructed by known n-bit S-boxes

2020 ◽  
Vol 15 (1) ◽  
pp. 258-265
Author(s):  
Yu Zhou ◽  
Daoguang Mu ◽  
Xinfeng Dong
Keyword(s):  
Sufficient Conditions ◽  
Sum Of Squares ◽  
Basic Component ◽  
Necessary And Sufficient Conditions ◽  
Autocorrelation Functions ◽  
Walsh Spectrum ◽  
Cryptographic Algorithms ◽  
Necessary And Sufficient ◽  
Relationship Of

AbstractS-box is the basic component of symmetric cryptographic algorithms, and its cryptographic properties play a key role in security of the algorithms. In this paper we give the distributions of Walsh spectrum and the distributions of autocorrelation functions for (n + 1)-bit S-boxes in [12]. We obtain the nonlinearity of (n + 1)-bit S-boxes, and one necessary and sufficient conditions of (n + 1)-bit S-boxes satisfying m-order resilient. Meanwhile, we also give one characterization of (n + 1)-bit S-boxes satisfying t-order propagation criterion. Finally, we give one relationship of the sum-of-squares indicators between an n-bit S-box S0 and the (n + 1)-bit S-box S (which is constructed by S0).

scholarly journals Comments on Kinetic Equation for Autocorrelation Functions

1969 ◽  
Vol 10 (6) ◽  
pp. 964-974 ◽  
Author(s):  
P. Résibois ◽  
J. Brocas ◽  
G. Decan
Keyword(s):  
Kinetic Equation ◽  
Autocorrelation Functions

scholarly journals Bootstrap predictive inference for ARIMA processes

2004 ◽  
Vol 25 (4) ◽  
pp. 449-465 ◽  
Author(s):  
Lorenzo Pascual ◽  
Juan Romo ◽  
Esther Ruiz
Keyword(s):  
Predictive Inference ◽  
Arima Processes
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