Hashing byte streams into elements of the Shafarevich-Tate group of an abelian variety
US7707426B2 · kind B2 · utility
7Cited by
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20Claims
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Key dates
| Filing date | Oct 28, 2005 |
| Grant date | Apr 27, 2010 |
| Priority date | — |
| Expiry date | Feb 25, 2029 |
Classification
- Technology area (CPC H)Electricity
- CPC primaryH04L9/3247
- WIPO fieldDigital communication
- WIPO sectorElectrical engineering
Abstract
Systems and methods for cryptographically processing data as a function of a Cassels-Tate pairing are described. In one aspect, a Shafarevich-Tate group is generated from an abelian variety. A Cassels-Tate pairing is determined as a function of elements of the Shafarevich-Tate group. Data is then cryptographically processed as a function of the Cassels-Tate pairing by using Kolyvagin cohomology classes to hash the data into an element of the Shafarevich-Tate group.
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