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Use of randomness in key code generation
Probabilistic encryption is the use of randomness in an encryption algorithm, so that when encrypting the same message several times it will, in general
Probabilistic_encryption
Process of non-randomly producing the same ciphertext for a given same plaintext and key
A deterministic encryption scheme (as opposed to a probabilistic encryption scheme) is a cryptosystem which always produces the same ciphertext for a
Deterministic_encryption
Israeli American computer scientist (born 1959)
time, she introduced the notion of probabilistic encryption where one message can be encrypted probabilistically to many different ciphertexts, which
Shafi_Goldwasser
Security and privacy measure
Strong encryption is required to be randomized - a different result must be generated each time. This is known as probabilistic encryption. Field-level
Database_encryption
Algorithm for public-key cryptography
S2CID 15726802. Goldwasser, Shafi; Micali, Silvio (1982-05-05). "Probabilistic encryption & how to play mental poker keeping secret all partial information"
RSA_cryptosystem
Type of public-key encryption
developed by Dan Boneh and Matthew K. Franklin (2001), and performs probabilistic encryption of arbitrary ciphertexts using an Elgamal-like approach. Though
Identity-based_encryption
Cryptography method
random encryption padding schemes such as Optimal Asymmetric Encryption Padding (OAEP). S. Goldwasser and S. Micali, Probabilistic encryption & how to
Semantic_security
EPOC (Efficient Probabilistic Public Key Encryption) is a probabilistic public-key encryption scheme. EPOC was developed in 1999 by T. Okamoto, S. Uchiyama
Efficient Probabilistic Public-Key Encryption Scheme
Efficient_Probabilistic_Public-Key_Encryption_Scheme
Length increase of a message when it is encrypted
the encryption process, for instance when the resulting ciphertext must include a message-unique Initialization Vector (IV). Probabilistic encryption schemes
Ciphertext_expansion
Asymmetric key encryption algorithm
asymmetric key encryption algorithm developed by Shafi Goldwasser and Silvio Micali in 1982. GM has the distinction of being the first probabilistic public-key
Goldwasser–Micali cryptosystem
Goldwasser–Micali_cryptosystem
Public-key cryptosystem
In cryptography, the ElGamal encryption system is a public-key encryption algorithm based on the Diffie–Hellman key exchange. It was described by Taher
ElGamal_encryption
Attack model for cryptanalysis with presumed access to ciphertexts for chosen plaintexts
framework". arXiv:cs/0508110. Goldwasser, S.; Micali, S. (1984). "Probabilistic encryption" (PDF). Journal of Computer and System Sciences. 28 (2): 270–299
Chosen-plaintext_attack
Italian-American computer scientist (born 1954)
another student, Shafi Goldwasser, to introduce the concept of probabilistic encryption. In this scheme, a message can be encrypted randomly to multiple
Silvio_Micali
Cryptographic problem
Abstract). CRYPTO 1984: 439-453. Goldwasser, S. and Micali, S. 1982. Probabilistic encryption & how to play mental poker keeping secret all partial information
Mental_poker
Property whereby no efficient algorithm can distinguish two distributions
Abstract), 1990, pp. 503–513 Shafi Goldwasser and Silvio Micali. Probabilistic Encryption. JCSS, 28(2):270–299, 1984 Oded Goldreich. Foundations of Cryptography:
Computational indistinguishability
Computational_indistinguishability
Problem in computational number theory
1109/SFCS.1980.28. ISSN 0272-5428. S. Goldwasser, S. Micali (1982). "Probabilistic encryption & how to play mental poker keeping secret all partial information"
Quadratic_residuosity_problem
Asymmetric key encryption algorithm
is an asymmetric key encryption algorithm proposed by Manuel Blum and Shafi Goldwasser in 1984. Blum–Goldwasser is a probabilistic, semantically secure
Blum–Goldwasser_cryptosystem
Algorithm for public key cryptography
cryptosystem, invented by and named after Pascal Paillier in 1999, is a probabilistic asymmetric algorithm for public key cryptography. The problem of computing
Paillier_cryptosystem
Family of archive file formats
DES, RC2, RC4 supported for encryption (not published online until the publication of APPNOTE 5.2) 5.2: (2003) AES encryption support for SES (defined in
ZIP_(file_format)
Asymmetric encryption algorithm developed by Robert McEliece
three algorithms: a probabilistic key generation algorithm that produces a public and a private key, a probabilistic encryption algorithm, and a deterministic
McEliece_cryptosystem
Type of cipher
vector, to create what is termed probabilistic encryption. In the popular cipher block chaining (CBC) mode, for encryption to be secure the initialization
Block_cipher
Property of some cryptosystems
strongest of the three definitions of security. For a probabilistic asymmetric-key encryption algorithm, indistinguishability under chosen-plaintext
Ciphertext indistinguishability
Ciphertext_indistinguishability
Scheme often used with RSA encryption
which can be used to convert a deterministic encryption scheme (e.g., traditional RSA) into a probabilistic scheme. Prevent partial decryption of ciphertexts
Optimal asymmetric encryption padding
Optimal_asymmetric_encryption_padding
number-theoretic functions are randomly self-reducible. This includes probabilistic encryption and cryptographically strong pseudorandom number generation. Also
Random_self-reducibility
Edward Scheidt • Edward Travis • EFF DES cracker • Efficient Probabilistic Public-Key Encryption Scheme • EKMS • Electronic Communications Act 2000 • Electronic
Index of cryptography articles
Index_of_cryptography_articles
Topics referred to by the same term
the precursor OS to the Symbian operating system Efficient Probabilistic Public-Key Encryption Scheme The Electric Power Optimization Centre at the University
EPOC
Type of cryptographic security
secret. If however, probabilistic encryption were used, m would be a strong secret. The randomness incorporated into the encryption algorithm will yield
Strong_secrecy
Secret-Ballot Elections (Ph.D. thesis) (PDF). Benaloh, Josh (1994). Dense Probabilistic Encryption (PDF). Workshop on Selected Areas of Cryptography. pp. 120–128
Benaloh_cryptosystem
probabilists Nuisance variable Probabilistic encryption Probabilistic logic Probabilistic proofs of non-probabilistic theorems Pseudocount "Core": 455
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Public-key cryptosystem
eavesdropping and intercepting adversaries. Modern standards for public-key encryption of arbitrary messages are usually based on KEMs. A KEM allows a sender
Key_encapsulation_mechanism
computing is possible in theory (using fully homomorphic encryption or via probabilistically checkable proofs), most of the known constructions are very
Verifiable_computing
Type of cryptosystem
signatures, ECDSA, and BLS. Similarly to threshold signatures, public-key encryption schemes can be thresholdized, so that at least t parties must cooperate
Threshold_cryptosystem
Semiconductor manufacturing technology
applications based on probabilistic algorithms such as hyper-encryption, bayesian networks, random neural networks and probabilistic cellular automata. "Scientists
PCMOS
Public-key encryption scheme
The Rabin cryptosystem is a family of public-key encryption schemes based on a trapdoor function whose security, like that of RSA, is related to the difficulty
Rabin_cryptosystem
Cryptographer
HMAC Random oracle OAEP Probabilistic signature scheme Provable security Format-preserving encryption Authenticated encryption Garbled circuits Multi-signatures
Mihir_Bellare
Technical standard
mathematical properties of public and private keys, primitive operations for encryption and signatures, secure cryptographic schemes, and related ASN.1 syntax
PKCS_1
energy-efficient implementation of a hyper-encryption chip was demonstrated by Krishna Palem et al. using the Probabilistic CMOS or PCMOS technology and was shown
Hyper-encryption
Type of cryptographic software obfuscation
public-key cryptography and more exotic ones such as deniable encryption and functional encryption (which are types of cryptography that no-one previously knew
Indistinguishability obfuscation
Indistinguishability_obfuscation
Mathematical scheme for verifying the authenticity of digital documents
party's private key. Formally, a digital signature scheme is a triple of probabilistic polynomial-time algorithms, (G, S, V), satisfying: G (key-generator)
Digital_signature
Type of functions designed for being unsolvable by root-finding algorithms
computationally indistinguishable from true randomness, i.e. for any probabilistic polynomial time algorithm A, which outputs 1 or 0 as a distinguisher
Cryptographically secure pseudorandom number generator
Cryptographically_secure_pseudorandom_number_generator
Stream ciphers
2251. This attack makes use of the new concept of probabilistic neutral key bits for probabilistic detection of a truncated differential. The attack can
Salsa20
Type of machine learning model
digital communication technologist Vyvyan Evans mapped out the role of probabilistic context-free grammar (PCFG) in enabling NLP to model cognitive patterns
Large_language_model
Asymmetric cryptographic primitive
simultaneously performs the functions of both digital signature and encryption. Encryption and digital signature are two fundamental cryptographic tools that
Signcryption
Israeli mathematician and computer scientist (1931–2026)
invited by Edward F. Moore to work at Bell Labs, where Rabin introduced probabilistic automata that employ coin tosses to decide which state transitions to
Michael_O._Rabin
Cryptographic proof technique
polynomial in the security parameter n. Define the advantage of any probabilistic efficient (polynomial-bounded time) algorithm A as A d v H i , H i +
Hybrid argument (cryptography)
Hybrid_argument_(cryptography)
Information used for message authentication and integrity checking
same key before initiating communications, as is the case with symmetric encryption. For the same reason, MACs do not provide the property of non-repudiation
Message_authentication_code
implementation of Damgard-Jurik encryption and Paillier encryption. Rust implementation of Damgard-Jurik encryption and Paillier encryption. Ivan Damgård, Mads Jurik:
Damgård–Jurik_cryptosystem
(called the host) to behave like another computer system. encryption In cryptography, encryption is the process of encoding information. This process converts
Glossary_of_computer_science
Type of symmetric key cipher
digit of the keystream, to give a digit of the ciphertext stream. Since encryption of each digit is dependent on the current state of the cipher, it is also
Stream_cipher
Computer hardware technology that uses quantum mechanics
For example, a large-scale quantum computer could break widely used encryption schemes and aid physicists in performing physical simulations. However
Quantum_computing
Method for strengthening public-key encryption against chosen-ciphertext attacks
transformation or FO transform) is a generic method for strengthening a public-key encryption scheme against adaptive chosen-ciphertext attacks. Security analyses of
Fujisaki–Okamoto transformation
Fujisaki–Okamoto_transformation
Deep learning artificial intelligence research team
a probabilistic method for converting pictures with 8x8 resolution to a resolution of 32x32. The method built upon an already existing probabilistic model
Google_Brain
Class of functions in cryptography
{ 0 , 1 } n {\displaystyle x\in \left\{0,1\right\}^{n}} ,. For all probabilistic polynomial-time distinguishers D {\displaystyle D} : | P r ( D F K (
Pseudorandom_permutation
Branch of cryptography
algorithms, especially artificial neural network algorithms, for use in encryption and cryptanalysis. Artificial neural networks are well known for their
Neural_cryptography
Free and open-source anonymity network
message length. Layered encryption: Similar to onion encryption in Tor, each packet is encapsulated in five layers of encryption. As packets traverse the
Nym_(mixnet)
Decomposition of a number into a product
important for the algorithms used in cryptography such as RSA public-key encryption and the RSA digital signature. Many areas of mathematics and computer
Integer_factorization
method of performing probabilistic dimension reduction of high-dimensional data Naive Bayes classifier: a family of probabilistic classifiers based on
List_of_algorithms
Printed lists of randomly created digits
accessible to the intended encoder and decoder allow literally unbreakable encryption of a similar or lesser amount of meaningful data (using a simple exclusive
Random_number_table
Family of block ciphers
"Improving Linear Cryptanalysis of LOKI91 by Probabilistic Counting Method", in Fast Software Encryption, pp 114–133, Springer-Verlag, 1997. Toshio Tokita
LOKI
Type of authentication protocol
keys for encryption. Using a key derivation function, the challenge value and the secret may be combined to generate an unpredictable encryption key for
Challenge–response authentication
Challenge–response_authentication
Engineering applied to artificial intelligence
Symbolic AI employs formal logic and predefined rules for inference, while probabilistic reasoning techniques like Bayesian networks help address uncertainty
Artificial intelligence engineering
Artificial_intelligence_engineering
Proving validity without revealing other data
example, their protocols require encryption. A commonly cited sufficient condition for the existence of unbreakable encryption is the existence of one-way
Zero-knowledge_proof
Award
application in identity-based encryption. 2013 David Blei For contributions to the theory and practice of probabilistic topic modeling and Bayesian machine
ACM_Prize_in_Computing
Mathematical object
key encryption scheme based on the worst case hardness of the approximate SVP in ideal lattices. This is the first CPA-secure public key encryption scheme
Ideal_lattice
Hellman, Martin E. (June 1977). "Exhaustive Cryptanalysis of the NBS Data Encryption Standard" (PDF). Computer. 10 (6): 74–84. doi:10.1109/C-M.1977.217750
Claw_finding_problem
Transmitting information over optical fiber
(2017-04-15). "Field Trial of a 1 Tb/s Super-Channel Network Using Probabilistically Shaped Constellations". Journal of Lightwave Technology. 35 (8): 1399–1406
Fiber-optic_communication
System that regulates the formation of blocks on a blockchain
unbounded probabilistic iterative procedures such as Hashcash. Known-solution protocols tend to have slightly lower variance than unbounded probabilistic protocols
Proof_of_work
Sequence of operations for a task
recently, in 2024, NIST updated their post-quantum encryption standards, which includes new encryption algorithms to enhance defenses against attacks using
Algorithm
"poly" symbol refers to an unspecified, but fixed, polynomial.) No probabilistic polynomial-time algorithm will, for sufficiently large ℓ {\displaystyle
Accumulator_(cryptography)
One-way cryptographic tool
strings {0, 1}*, satisfying the following conditions: There exists a probabilistic polynomial time (PPT) sampling algorithm Gen s.t. Gen(1n) = (k, tk)
Trapdoor_function
achieved, and this pattern can leak some important information such as encryption keys. And in the outsourcing of cloud data, this leakage of access pattern
Oblivious_data_structure
Cryptographic hash function
least one of e0,…,ek is odd. The VSSR assumption is that there is no probabilistic polynomial (in log(n)) time algorithm which solves VSSR with non-negligible
Very_smooth_hash
Number divisible only by 1 and itself
whether an arbitrary given number n {\displaystyle n} is prime are probabilistic (or Monte Carlo) algorithms, meaning that they have a small random chance
Prime_number
Notion in intelligent design
A universal probability bound is a probabilistic threshold whose existence is asserted by William A. Dembski and is used by him in his works promoting
Universal_probability_bound
Unsolved problem in computer science
Finally, randomized algorithms and quantum computation are modeled using probabilistic and quantum variants of Turing machines and circuits, leading to classes
P_versus_NP_problem
Indian computer scientist (born 1955)
Kannan Srinathan, Arpita Patra, Ashish Choudhary, C. Pandu Rangan: Probabilistic Perfectly Reliable and Secure Message Transmission - Possibility, Feasibility
C._Pandu_Rangan
Overview of and topical guide to algorithms
search Automated machine learning Program synthesis Advanced Encryption Standard Data Encryption Standard Triple DES Blowfish (cipher) Twofish ChaCha20-Poly1305
Outline_of_algorithms
American mathematician (1916–2001)
including the work of Horst Feistel, the Data Encryption Standard (DES), and the Advanced Encryption Standard (AES). As a result, Shannon has been called
Claude_Shannon
Open-source distributed ledger and cryptocurrency
for a double spend. IOTA has designed a voting algorithm called Fast Probabilistic Consensus to form a consensus on double spends. Instead of starting
IOTA_(technology)
features a resilient IP-based communication platform with end-to-end encryption. The IP-based communication platform is managed and supervised from a
Eulynx
Facts provided or learned about something or someone
fundamental feature of quantum theory is that the predictions it makes are probabilistic. Prior to the publication of Bell's theorem, determinists reconciled
Information
Strong KDM-Secure Encryption" (PDF). {{cite journal}}: Cite journal requires |journal= (help) Canetti, Ran. "Task Structured Probabilistic I/O Automata" (PDF)
Ran_Canetti
x) but is hard to compute given f(x). In formal terms, there is no probabilistic polynomial-time (PPT) algorithm that computes b(x) from f(x) with probability
Hard-core_predicate
Experimental technology level
symmetries, they can be discarded or corrected through post-selection. Probabilistic error cancellation reconstructs ideal quantum operations as linear combinations
Noisy intermediate-scale quantum computing
Noisy_intermediate-scale_quantum_computing
Fault in a computer system that presents different symptoms to different observers
because failures such as incorrect voltages can propagate through the encryption process. Thus, a faulty message could be sent such that some recipients
Byzantine_fault
Organized collection of data in computing
where each processing unit has its own main memory and other storage. Probabilistic databases employ fuzzy logic to draw inferences from imprecise data
Database
Involutive change of basis in linear algebra
operations). This is exactly like flipping a fair coin in the standard probabilistic model of computation. However, if the Hadamard gate is applied twice
Hadamard_transform
Type of artificial neural network architecture
Fakhoury et al. (2022) introduced ExSpliNet, integrating KART with probabilistic trees and multivariate B-splines for improved function approximation
Kolmogorov–Arnold_Networks
Computer science award
1145/226643.226652, ISSN 0004-5411 Arora, Sanjeev; Safra, Shmuel (1998), "Probabilistic checking of proofs: a new characterization of NP" (PDF), Journal of
Gödel_Prize
Security-related instruction code processor extension
applications include concealment of proprietary algorithms and of encryption keys. SGX involves encryption by the CPU of a portion of memory (the enclave). Data and
Software_Guard_Extensions
Privacy-focused cryptocurrency
passed to one node on Monero's peer-to-peer network, and a repeated probabilistic method is used to determine when the transaction should be sent to just
Monero
Mapping arbitrary data to fixed-size values
are an essential ingredient of the Bloom filter, a space-efficient probabilistic data structure that is used to test whether an element is a member of
Hash_function
Mathematical problem in cryptography
(LWE) is a mathematical problem that is widely used to create secure encryption algorithms. It is based on the idea of representing secret information
Learning_with_errors
Type of cryptanalytic attack
polynomial reconstructed the attacker then has a representation of the encryption, without exact knowledge of the secret key. The interpolation attack can
Interpolation_attack
Computational concept
uniform distribution on U m + d {\displaystyle U_{m+d}} . Using the probabilistic method, it can be shown that there exists a (k, ε)-extractor, i.e. that
Randomness_extractor
attackers, creating barriers or lines of defense, through firewalls or encryption. However, losses result also from actions not executed properly (such
Preventive_action
Interplay between observation, experiment, and theory in science
associated survey methodology of field research, the concept together with probabilistic reasoning is used to advance fields of science where research objects
Scientific_method
Assumption used in cryptographic systems
{\displaystyle b} and a b {\displaystyle ab} , respectively, which provides a probabilistic method to distinguish g a b {\displaystyle g^{ab}} from a random group
Decisional Diffie–Hellman assumption
Decisional_Diffie–Hellman_assumption
standard argument for proving theorems. It usually allows us to convert probabilistic polynomial-time algorithms into non-uniform polynomial-size circuits
Averaging_argument
to artificial intelligence through the development of a calculus for probabilistic and causal reasoning. 1952 Perlis, Alan On Project Whirlwind, member
List of pioneers in computer science
List_of_pioneers_in_computer_science
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