Questions tagged [notation]
Questions on the meaning, history, and usage of symbols and notation in cryptography. Please remember to mention where (book, paper, webpage, etc.) you encountered any notation you are asking about.
108 questions
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What does this "lightbulb-ish" symbol mean in figure 1 of the Diffie Hellmann paper?
In Diffie and Hellmanns famous paper New Directions in Cryptography from 1976, figure 1 on p. 645 (resp. second page in the linked pdf) visualizes the flow of information in symmetric cryptosystems.
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Small Notation question on HQC and 2-QCSD-P Distribution
I am reading the Hamming Quasi-Cyclic (HQC) specification and just want to clarify a notation they are using.
In the paragraph before Definition 2.1.14 (2-QCSD-P Distribution), for $b_1 \in \{0,1\} $ ...
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Notation question: ciphertext vs. (IV, ciphertext)
Consider encryption with a stream cipher. We select a random nonce or IV, create a keystream, and encrypt the plaintext to a ciphertext $c$ with XOR. Then we need to transmit the nonce/IV, so the ...
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Carter-Wegman MAC different notations
While studying Carter-Wegman message authentication codes MAC, I got two different notations for the broader concept and have problems with understanding the difference, if any exist.
Let $K, K_1, K_2$...
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Does this protocol description and design look sound?
I am working on a tool that uses password derived keys for AES and a selectable modes of operation to encrypt (and later decrypt) text for storage on an insecure media. The tool is constrained to ...
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Cartesian Product Notation for Encryption and Decryption
I'm learning about encryption $(E)$ and decryption $(D)$ algorithms and am wondering what the following notation means, specifically the cartesian product for $E$ and $D$.
$k$ represents key, $P$ ...
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Question about the notation $H\leftarrow\mathcal{H}_{\mathcal{K}}$ in an IND-CCA security experiment
In the paper
"Hybrid Key Encapsulation Mechanisms and Authenticated Key Exchange"
by Bindel et al., I looked at the IND-CCA security experiment (figure 3).
In the first line of the game, ...
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Understanding $\mathbb{Z}_q[X]/(X^N + 1)$ notation in cryptography paper
I can't seem to understand what $A_{N,q}$ represents in this paper (Section 2.1 - Notations). More specifically, I'm struggling to grasp the meaning of $\mathbb{Z}_q[X]/(X^N + 1)$. Could someone ...
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On the construction and notation of a certain OWF
I am studying a little bit about one-way functions from Dr Goyal's notes.
He constructs the following OWF:
Let $D=\Bbb Z_2^{n^3}$ and $R=\Bbb Z_2^{2 n}$. Given $x \in D$, $f$ interprets $x$ as a set $...
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Confusing notation in signature scheme
In the paper Efficient and Secure Pairing-Free Certificateless Aggregate Signature Scheme for Healthcare Wireless Medical Sensor Networks, on the signature generation part (Page 5), there is an ...
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Why would be the use of such hash function definition? What would be the input of these functions?
$ G \space is \space an \space elliptic \space curve \space group \space G \space with \space order \space q$
and three hash functions are defined as this:
$$
H_1: \{0,1\}^*\times G \rightarrow Z^*_q
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Probability conventions in cryptography
I am working on Victor Shoup's tutorial on game-based security proof and want to figure out some notions from the perspective of probability theory.
Consider the following PRF advantage defined on ...
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Perp notation question
What does the symbol $\perp$ mean? I saw this on a paper where some entity outputs $\perp$.
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what is the notation of nth power of 1? [duplicate]
when reading theoretical materials, it is often seen that "a common input 1^n..." what does it mean? Are there any similar questions and answers previously in StackExchange?
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Can you identify these cryptographic algorithmic symbols?
I am mostly self taught and have limited knowledge of the symbology in the image below. It is a diagram of a sub block the RIPEMD-160 algorithm:
Are such symbols standardized? Is there a good ...