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PRECOMPUTATION

  • Precomputation
  • Act of performing an initial computation before run time

    In algorithms, precomputation is the act of performing an initial computation before run time to generate a lookup table that can be used by an algorithm

    Precomputation

    Precomputation

    Precomputation

  • Rainbow table
  • Password cracking dataset

    random and stored with the password hash. A large salt value prevents precomputation attacks, including rainbow tables, by ensuring that each user's password

    Rainbow table

    Rainbow_table

  • Logjam (computer security)
  • Security vulnerability in Diffie–Hellman key exchange

    and reused. The researchers calculated the cost of creating logjam precomputation for one 1024-bit prime at hundreds of millions of USD, and noted that

    Logjam (computer security)

    Logjam_(computer_security)

  • Möller–Trumbore intersection algorithm
  • Method of calculating ray-triangle intersections in 3D space

    intersection of a ray and a triangle in three dimensions without needing precomputation of the plane equation of the plane containing the triangle. Among other

    Möller–Trumbore intersection algorithm

    Möller–Trumbore_intersection_algorithm

  • Diffie–Hellman key exchange
  • Method of exchanging cryptographic keys

    estimated by the authors behind the Logjam attack, the much more difficult precomputation needed to solve the discrete log problem for a 1024-bit prime would

    Diffie–Hellman key exchange

    Diffie–Hellman key exchange

    Diffie–Hellman_key_exchange

  • Collatz conjecture
  • Open problem on 3x+1 and x/2 functions

    17, 2, 2, 20, 20, 8, 22, 8, 71, 26, 26, 80, 242 }. This requires 2k precomputation and storage to speed up the resulting calculation by a factor of k,

    Collatz conjecture

    Collatz_conjecture

  • Function field sieve
  • Algorithm to solve the discrete logarithm problem

    \alpha _{P}\deg(P)} . The Function Field Sieve algorithm consists of a precomputation where the discrete logarithms of irreducible polynomials of small degree

    Function field sieve

    Function_field_sieve

  • Discrete logarithm
  • Problem of inverting exponentiation in groups

    authors of the Logjam attack estimate that the much more difficult precomputation needed to solve the discrete log problem for a 1024-bit prime would

    Discrete logarithm

    Discrete logarithm

    Discrete_logarithm

  • Materialized view
  • In databases, cached query results

    languages, and it is sometimes described as a form of precomputation. As with other forms of precomputation, database users typically use materialized views

    Materialized view

    Materialized_view

  • Barrett reduction
  • Algorithm in modular arithmetic

    et al. showed that the full product is unnecessary if we can perform precomputation on one of the operands. We call a function [ ] : R → Z {\displaystyle

    Barrett reduction

    Barrett_reduction

  • Dictionary attack
  • Technique for defeating password protection using lists of likely possibilities

    the hash dictionary to be recomputed for each password sought, making precomputation infeasible, provided that the number of possible salt values is large

    Dictionary attack

    Dictionary_attack

  • Badouel intersection algorithm
  • intersection of a ray and a triangle in three dimensions without needing precomputation of the plane equation of the plane containing the triangle. Ray-Polygon

    Badouel intersection algorithm

    Badouel_intersection_algorithm

  • E (mathematical constant)
  • 2.71828…, base of natural logarithms

    "Fast Multiple Precision exp ⁡ ( x ) {\displaystyle \exp(x)} with Precomputations" (PDF). Proceedings of the 2024 IEEE 29th Symposium on Computer Arithmetic

    E (mathematical constant)

    E (mathematical constant)

    E_(mathematical_constant)

  • Secure Remote Password protocol
  • Augmented password-authenticated key exchange protocol

    showing subtle weaknesses; it is not UC‑secure, lacks resistance to all precomputation attacks, has weaker formal proofs, and offers no protection against

    Secure Remote Password protocol

    Secure_Remote_Password_protocol

  • Collision detection
  • Term in computer science

    {\displaystyle S} against any triangle in L ( T ) {\displaystyle L(T)} . As a precomputation, take each physical body (represented by a set of triangles) and recursively

    Collision detection

    Collision_detection

  • Global illumination
  • Group of rendering algorithms used in 3D computer graphics

    2002 Conference Proceedings. Microsoft Research. Ramamoorthi, Ravi. "Precomputation-Based Rendering" (PDF). Foundations and Trends in Computer Graphics

    Global illumination

    Global illumination

    Global_illumination

  • Twofish
  • Block cipher

    in hardware for Twofish. An example of such a tradeoff would be the precomputation of round subkeys or s-boxes, which can lead to speed increases of a

    Twofish

    Twofish

    Twofish

  • Cube root
  • Number whose cube is a given number

    assuming that ⁠1/3⁠a is precomputed, so three iterations plus the precomputation require seven multiplications, three additions, and three divisions

    Cube root

    Cube root

    Cube_root

  • Lookup table
  • Array that replaces runtime computation with a simpler array indexing operation

    applications that require it. Depending on the values being precomputed, precomputation with interpolation can also be used to shrink the lookup table size

    Lookup table

    Lookup_table

  • A5/1
  • Stream cipher

    known plaintext. The attack requires 32 GB of data storage after a precomputation stage of 238. Ekdahl and Johansson published an attack on the initialisation

    A5/1

    A5/1

  • Exponentiation by squaring
  • Algorithm for fast exponentiation

    xn when the base is fixed and the exponent varies. As one can see, precomputations play a key role in these algorithms. Yao's method is orthogonal to

    Exponentiation by squaring

    Exponentiation_by_squaring

  • Security level
  • Measure of cryptographic strength

    June 2012). "Non-uniform cracks in the concrete: the power of free precomputation" (PDF). Advances in Cryptology - ASIACRYPT 2013. Lecture Notes in Computer

    Security level

    Security_level

  • Crash Bandicoot (video game)
  • 1996 video game

    games that followed Doom and concluded that extending the visibility precomputations would allow the game to render a larger number of polygons. Following

    Crash Bandicoot (video game)

    Crash_Bandicoot_(video_game)

  • Montgomery modular multiplication
  • Algorithm for fast modular multiplication

    only place where a direct reduction modulo N is necessary is in the precomputation of R2 mod N. Most cryptographic applications require numbers that are

    Montgomery modular multiplication

    Montgomery_modular_multiplication

  • Random walker algorithm
  • Image segmentation algorithm

    eigenvector precomputation". In IEEE Conf. CVPR, pp. 1–8, 2008 S. Andrews, G. Hamarneh, A. Saad. Fast random walker with priors using precomputation for interactive

    Random walker algorithm

    Random_walker_algorithm

  • Steiner tree problem
  • On short connecting nets with added points

    1986, Wu et al. improved dramatically on the running time by avoiding precomputation of the all-pairs shortest paths. Instead, they take a similar approach

    Steiner tree problem

    Steiner tree problem

    Steiner_tree_problem

  • Disk encryption theory
  • {\displaystyle {\text{GF}}\left(2^{128}\right)} for AES). With some precomputation, only a single multiplication per sector is required (note that addition

    Disk encryption theory

    Disk_encryption_theory

  • Path tracing
  • Computer graphics method

    around corners, and other types of bias. Reuse algorithms based on precomputation and caching may not respond quickly enough to lighting changes during

    Path tracing

    Path tracing

    Path_tracing

  • MIFARE
  • Brand of smart and proximity cards

    MIFARE Classic, has instant running time, and does not require a costly precomputation. The new attack allows recovering the secret key of any sector of the

    MIFARE

    MIFARE

    MIFARE

  • Elliptic curve point multiplication
  • Mathematical operation on points on an elliptic curve

    doubling and 2 w − 2 − 1 {\displaystyle 2^{w-2}-1} point additions for precomputation. The algorithm then requires n {\displaystyle n} point doublings and

    Elliptic curve point multiplication

    Elliptic_curve_point_multiplication

  • Chaos Corona
  • Computer image rendering software

    using the path tracing engine gives an unbiased result, while using precomputations with a secondary engine increases processing time while making outcomes

    Chaos Corona

    Chaos_Corona

  • P/poly
  • Set of problems solved by small circuits

    BPP, this also admits the possibility that adversaries can do heavy precomputation for inputs up to a certain length, as in the construction of rainbow

    P/poly

    P/poly

  • Crypto Wars
  • Attempts to limit access to strong cryptography

    primes in Diffie–Hellman implementations, and that NSA having done precomputation against those primes in order to break encryption using them in real

    Crypto Wars

    Crypto_Wars

  • Cone tracing
  • and ambient occlusion at interactive framerates without the need for precomputation. Anisotropic filtering Sampling (signal processing) Spatial anti-aliasing

    Cone tracing

    Cone_tracing

  • E0 (cipher)
  • Stream cipher

    about 240 operations. The attack was improved to 237 operations for precomputation and 239 for the actual key search. In 2005, Lu, Meier and Vaudenay published

    E0 (cipher)

    E0_(cipher)

  • Discrete logarithm records
  • Best results achieved to date

    1607. Joux, Antoine; Pierrot, Cécile. "Improving the Polynomial time Precomputation of Frobenius Representation Discrete Logarithm Algorithms" (PDF). Archived

    Discrete logarithm records

    Discrete_logarithm_records

  • Minimum-diameter spanning tree
  • Tree connecting given points by short paths

    points can also be tested in O ( n ) {\displaystyle O(n)} , after a precomputation step in which, for each point, the other points are sorted by their

    Minimum-diameter spanning tree

    Minimum-diameter_spanning_tree

  • Cube attack
  • Method of cryptanalysis

    input bits will exist with high probability, and can be discovered in a precomputation phase by "black box probing" of the relationship between input and output

    Cube attack

    Cube_attack

  • Custom hardware attack
  • Concept in cryptography

    2011-07-16. Retrieved 2025-10-20. "Breaking Diffie-Hellman with Massive Precomputation (Again)". Schneier on Security. 2015-10-16. Retrieved 2025-10-20. Bergsaker

    Custom hardware attack

    Custom hardware attack

    Custom_hardware_attack

  • Rebound attack
  • Type of cryptographic statistical attack

    can be found with a complexity of 28 round transformations due to the precomputation step. The outbound phase completes the differential characteristic in

    Rebound attack

    Rebound_attack

  • GBDE
  • Encryption system for FreeBSD

    a significant CPU overhead, as most block ciphers use key-specific precomputations, and makes disk updates non-atomic since the keys are written separately

    GBDE

    GBDE

  • Input enhancement (computer science)
  • this problem. Input enhancement is often used interchangeably with precomputation and preprocessing. Although they are related, there are several important

    Input enhancement (computer science)

    Input_enhancement_(computer_science)

  • Algebraic attack
  • Cryptanalytic attacks using a system of multivariate equations

    plaintext in fraction of a second. This was further improvement from the precomputation algorithms that were the fastest known to break the Bluetooth cipher

    Algebraic attack

    Algebraic_attack

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Online names & meanings

  • Sorin
  • Boy/Male

    Australian, Romanian

    Sorin

    Thunder; Red Hair

  • Dhaiwik
  • Boy/Male

    Indian, Tamil

    Dhaiwik

    Strong

  • Satesh | ஸதேஷ
  • Boy/Male

    Tamil

    Satesh | ஸதேஷ

    Lord of hundreds, Ruler of hundreds, Happiness

  • Fareed
  • Boy/Male

    Muslim/Islamic

    Fareed

    Unique incomparable

  • Bindiya | பிஂதியா
  • Girl/Female

    Tamil

    Bindiya | பிஂதியா

    A dot on the forehead. the one which indian women who put down the same in between two eyebrows, Drop, Point

  • Anarghya
  • Boy/Male

    Hindu, Indian, Kannada, Marathi, Sanskrit

    Anarghya

    Priceless

  • Norval
  • Boy/Male

    American, Australian, French, Scottish

    Norval

    From the Northern Town

  • Lorah
  • Girl/Female

    German, Irish, Latin

    Lorah

    Laurel Tree; Sweet Bay Tree; Symbolic of Honor and Victory; Variant of Laura

  • Terena
  • Girl/Female

    American, Australian, Latin

    Terena

    Smooth; Polished; Feminine of Terence

  • Jagannathan | ஜகந்நாதந 
  • Boy/Male

    Tamil

    Jagannathan | ஜகந்நாதந 

    Lord of the world, Pricing the Lord

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PRECOMPUTATION

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