Keyword : primitive polynomial


Multi-Valued Sequences Generated by Power Residue Symbols over Odd Characteristic Fields
Begum NASIMA Yasuyuki NOGAMI Satoshi UEHARA Robert H. MOLEROS-ZARAGOZA 
Publication:   
Publication Date: 2017/04/01
Vol. E100-A  No. 4 ; pp. 922-929
Type of Manuscript:  Special Section PAPER (Special Section on Signal Design and Its Applications in Communications)
Category: Sequences
Keyword: 
geometric sequencemulti-valued sequenceodd characteristicprimitive polynomialLegendre symboltrace
 Summary | Full Text:PDF(965.5KB)

A Multi-Value Sequence Generated by Power Residue Symbol and Trace Function over Odd Characteristic Field
Yasuyuki NOGAMI Satoshi UEHARA Kazuyoshi TSUCHIYA Nasima BEGUM Hiroto INO Robert H. MOLEROS-ZARAGOZA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2016/12/01
Vol. E99-A  No. 12 ; pp. 2226-2237
Type of Manuscript:  Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Sequences
Keyword: 
multi-value sequenceodd characteristicprimitive polynomialpower residue symboltracecross-correlation
 Summary | Full Text:PDF(1.7MB)

A Geometric Sequence Binarized with Legendre Symbol over Odd Characteristic Field and Its Properties
Yasuyuki NOGAMI Kazuki TADA Satoshi UEHARA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2014/12/01
Vol. E97-A  No. 12 ; pp. 2336-2342
Type of Manuscript:  Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Sequence
Keyword: 
geometric sequenceodd characteristicprimitive polynomialLegendre symboltrace
 Summary | Full Text:PDF(592KB)

A Constructive Method of Algebraic Attack with Less Keystream Bits
Xiaoyan ZHANG Qichun WANG Bin WANG Haibin KAN 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/10/01
Vol. E94-A  No. 10 ; pp. 2059-2062
Type of Manuscript:  LETTER
Category: Cryptography and Information Security
Keyword: 
algebraic attackprimitive polynomiallinearizationmultivariate equations
 Summary | Full Text:PDF(84.1KB)