Pairings in local fields and cryptography
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Publication:266208
DOI10.1134/S1995080215040174zbMath1369.11080OpenAlexW2224162029MaRDI QIDQ266208
E. S. Vostokova, Sergei Vostokov
Publication date: 13 April 2016
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080215040174
local fieldsformal groupsnumber fields\(p\)-adic numberspublic key cryptosysteme-signatureexplecet pairing in reciprocity lawmultidimentional local fieldsreciprocity laws
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- The field-of-norms functor and the Hilbert symbol for higher local fields
- An explicit formula for the Hilbert symbol of a formal group
- The Hilbert symbol of polynomial formal groups
- Hilbert symbol in a discrete valuated field
- The field of norms functor and the Brückner-Vostokov formula
- An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups.
- The Hilbert symbol in a complete multidimensional field. I
- Abelian local \(p\)-class field theory
- Formal complex multiplication in local fields
- On the theory of commutative formal groups
- A public key cryptosystem and a signature scheme based on discrete logarithms
- Relative Lubin-Tate Groups
- EXPLICIT CONSTRUCTION OF CLASS FIELD THEORY FOR A MULTIDIMENSIONAL LOCAL FIELD
- A NORM PAIRING IN FORMAL MODULES
- EXPLICIT FORM OF THE LAW OF RECIPROCITY
- SYMBOLS ON FORMAL GROUPS
- ON THE ARITHMETIC OF TWO-DIMENSIONAL SCHEMES. I. DISTRIBUTIONS AND RESIDUES
- A method for obtaining digital signatures and public-key cryptosystems
- Priodiques p-adiques et lois de rciprocit explicites.
- Explicit formulae for the Hilbert symbol of a formal group over the Witt vectors
- The Kneser relation and the Hilbert pairing in multidimensional local field
- Local class field theory