New Assumptions and Efficient Cryptosystems from the e-th Power Residue Symbol

Information Security and Privacy - Lecture Notes in Computer Science ◽

10.1007/978-3-030-55304-3_21 ◽

2020 ◽

pp. 408-424 ◽

Author(s):

Xiaopeng Zhao ◽

Zhenfu Cao ◽

Xiaolei Dong ◽

Jun Shao ◽

Licheng Wang ◽

...

Keyword(s):

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The norm residue symbol for Higher Local Fields

Journal of Number Theory ◽

10.1016/j.jnt.2021.06.031 ◽

2021 ◽

Author(s):

Jorge Flórez

Keyword(s):

Local Fields ◽

Residue Symbol ◽

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Fast Computation of the Biquadratic Residue Symbol

Journal of Number Theory ◽

10.1016/s0022-314x(02)92783-6 ◽

2002 ◽

Vol 96 (1) ◽

pp. 133-151 ◽

Author(s):

A Weilert

Keyword(s):

Fast Computation ◽

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ON THE NORM-RESIDUE SYMBOL IN THE THEORY OF CYCLOTOMIC FIELDS

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.16.11.740 ◽

1930 ◽

Vol 16 (11) ◽

pp. 740-743

Author(s):

H. S. Vandiver

Keyword(s):

Cyclotomic Fields ◽

Residue Symbol ◽

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An algebraic approach to Grothendieck’s residue symbol

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1983-0682716-x ◽

1983 ◽

Vol 275 (2) ◽

pp. 511-511

Author(s):

Glenn Hopkins

Keyword(s):

Algebraic Approach ◽

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A note on the power residue symbol

Number Theory ◽

10.1515/9783110870923.125 ◽

2013 ◽

Author(s):

Charles Helou

Keyword(s):

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The norm residue symbol

Algebraic Numbers and Algebraic Functions ◽

10.1090/chel/358/08 ◽

2006 ◽

pp. 144-164

Keyword(s):

Residue Symbol ◽

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The Restricted Biquadratic Residue Symbol

Proceedings of the London Mathematical Society ◽

10.1112/plms/s3-9.2.189 ◽

1959 ◽

Vol s3-9 (2) ◽

pp. 189-207 ◽

Author(s):

A. Fröhlich

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On properties of the n-dimensional norm residue symbol in higher local class field theory

Journal of Pure and Applied Algebra ◽

10.1016/0022-4049(95)00161-1 ◽

1996 ◽

Vol 108 (1) ◽

pp. 1-6 ◽

Author(s):

Robert A. Bell

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Residue Symbol ◽

Norm Residue ◽

Local Class Field Theory

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An Algebraic Approach to Grothendieck's Residue Symbol

Transactions of the American Mathematical Society ◽

10.2307/1999037 ◽

1983 ◽

Vol 275 (2) ◽

pp. 511 ◽

Author(s):

Glenn Hopkins

Keyword(s):

Algebraic Approach ◽

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THE NORM RESIDUE SYMBOL IN LOCAL FIELDS

Russian Mathematical Surveys ◽

10.1070/rm1978v033n06abeh003873 ◽

1978 ◽

Vol 33 (6) ◽

pp. 239-240 ◽

Author(s):

V A Kolyvagin

Keyword(s):

Local Fields ◽

Residue Symbol ◽

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