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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.

8 votes
2 answers
3k views

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. ...
ATW's user avatar
  • 253
1 vote
1 answer
50 views

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\} $ ...
grover's user avatar
  • 113
0 votes
0 answers
53 views

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 ...
Sam Jaques's user avatar
  • 1,920
3 votes
1 answer
524 views

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 $K, K_1, K_2$...
Titanlord's user avatar
  • 2,822
0 votes
0 answers
77 views

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 ...
schickb's user avatar
  • 101
0 votes
1 answer
117 views

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, $P$ ...
user314's user avatar
  • 103
1 vote
1 answer
97 views

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, ...
Aericura's user avatar
  • 113
5 votes
1 answer
837 views

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 ...
Al A's user avatar
  • 63
0 votes
1 answer
97 views

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 $...
Chris's user avatar
  • 266
0 votes
1 answer
59 views

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 ...
Rabindra Moirangthem's user avatar
0 votes
1 answer
69 views

$ 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 ...
Abol_Fa's user avatar
  • 83
7 votes
2 answers
715 views

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 ...
X. G.'s user avatar
  • 424
0 votes
1 answer
165 views

What does the symbol $\perp$ mean? I saw this on a paper where some entity outputs $\perp$.
Chito Miranda's user avatar
1 vote
0 answers
34 views

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?
oxear08's user avatar
  • 31
1 vote
2 answers
202 views

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 ...
sh34v3's user avatar
  • 113

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