๐”– Bobbio Scriptorium
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Elliptic curve implementation of zero-knowledge blobs

โœ Scribed by Neal Koblitz

Publisher
Springer
Year
1991
Tongue
English
Weight
349 KB
Volume
4
Category
Article
ISSN
0933-2790

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โœฆ Synopsis

the authors show how to construct the building blocks for perfect zero-knowledge proofs called "blobs" using the discrete log problem. Contrary to what they remark on p. 73 of [2], we argue that the Mordell group of an elliptic curve is more suitable than the multiplicative group of a finite field for the construction of a hard cryptographic suite of problems.

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โœ Silke Lekaus ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 66 KB

In this Note we study indecomposable vector bundles of degree zero over an elliptic curve. We show that each bundle generates a ring and a Tannakian category, such that the ring and the group scheme associated to the Tannakian category are of the same dimension. Furthermore we show that the result d