P

Inventor

MONTGOMERY PETER L

US23 patents
⚠️ This page may combine multiple inventors who share the name “MONTGOMERY PETER L”. Patents are grouped by organization below to help distinguish them — per-person disambiguation is on the roadmap.

MICROSOFT CORP

21 patents
US7236589B2Jun 26, 2007

Device for point compression for Jacobians of hyperelliptic curves

MICROSOFT CORP14 citations92
US7587605B1Sep 8, 2009

Cryptographic pairing-based short signature generation and verification

MICROSOFT CORP29 citations91
US6209093B1Mar 27, 2001

Technique for producing a privately authenticatable product copy indicia and for authenticating such an indicia

MICROSOFT CORP46 citations90
US6163841ADec 19, 2000

Technique for producing privately authenticatable cryptographic signatures and for authenticating such signatures

MICROSOFT CORP46 citations90
US8036379B2Oct 11, 2011

Cryptographic processing

MICROSOFT CORP9 citations84
US7730315B2Jun 1, 2010

Cryptosystem based on a Jacobian of a curve

MICROSOFT CORP13 citations84
US7584362B2Sep 1, 2009

Systems and methods for providing signatures

MICROSOFT CORP8 citations84
US7363336B1Apr 22, 2008

Six-term Karatsuba-variant calculator

MICROSOFT CORP9 citations84
US7043015B2May 9, 2006

Methods for point compression for Jacobians of hyperelliptic curves

MICROSOFT CORP11 citations84
US7020776B2Mar 28, 2006

Cryptosystem based on a Jacobian of a curve

MICROSOFT CORP14 citations84
US7139396B2Nov 21, 2006

Koblitz exponentiation with bucketing

MICROSOFT CORP18 citations83
US7298839B2Nov 20, 2007

Squared Weil and Tate pairing techniques for use with elliptic curves

MICROSOFT CORP12 citations82
US7512232B2Mar 31, 2009

Generation and validation of short digital signatures with implicit message embedding

MICROSOFT CORP5 citations63
US7469048B2Dec 23, 2008

Methods for point compression for jacobians of hyperelliptic curves

MICROSOFT CORP3 citations63
US7765252B1Jul 27, 2010

Five-term karatsuba-variant calculator

MICROSOFT CORP3 citations62
US7769167B2Aug 3, 2010

Weil and Tate pairing techniques using parabolas

MICROSOFT CORP4 citations61
US7440569B2Oct 21, 2008

Tate pairing techniques for use with hyperelliptic curves

MICROSOFT CORP3 citations61
US7617397B2Nov 10, 2009

Systems and methods for generation and validation of isogeny-based signatures

MICROSOFT CORP2 citations60
US7664258B2Feb 16, 2010

Randomized sparse formats for efficient and secure computation on elliptic curves

MICROSOFT CORP2 citations56
US7532720B2May 12, 2009

Utilizing SIMD instructions within montgomery multiplication

MICROSOFT CORP1 citations52
US7729494B2Jun 1, 2010

Squared Weil and Tate pairing techniques for use with elliptic curves

MICROSOFT CORP0 citations51

ELSON JEREMY E

1 patent

SHUMOW DANIEL BAKALARS

1 patent