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TIT
2010
112views Education» more  TIT 2010»
13 years 1 months ago
Exponential bounds implying construction of compressed sensing matrices, error-correcting codes, and neighborly polytopes by ran
In [12] the authors proved an asymptotic sampling theorem for sparse signals, showing that n random measurements permit to reconstruct an N-vector having k nonzeros provided n >...
David L. Donoho, Jared Tanner
CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 6 months ago
The Case for Structured Random Codes in Network Capacity Theorems
Random coding arguments are the backbone of most channel capacity achievability proofs. In this paper, we show that in their standard form, such arguments are insufficient for pro...
Bobak Nazer, Michael Gastpar
TLCA
2009
Springer
14 years 1 months ago
On the Meaning of Logical Completeness
G¨odel’s completeness theorem is concerned with provability, while Girard’s theorem in ludics (as well as full completeness theorems in game semantics) are concerned with proo...
Michele Basaldella, Kazushige Terui
CSFW
2012
IEEE
11 years 9 months ago
Generic Indifferentiability Proofs of Hash Designs
—In this paper, we propose a formal analysis of domain extenders for hash functions in the indifferentiability framework. We define a general model for domain extenders and prov...
Marion Daubignard, Pierre-Alain Fouque, Yassine La...
CSFW
2010
IEEE
13 years 10 months ago
Strong Invariants for the Efficient Construction of Machine-Checked Protocol Security Proofs
We embed an operational semantics for security protocols in the interactive theorem prover Isabelle/HOL and derive two strong protocol-independent invariants. These invariants allo...
Simon Meier, Cas J. F. Cremers, David A. Basin