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Lossless data compression technique
compression, Shannon coding, named after its creator, Claude Shannon, is a lossless data compression technique for constructing a prefix code based on a
Shannon_coding
Data compression algorithms
compression, Shannon–Fano coding, named after Claude Shannon and Robert Fano, is one of two related techniques for constructing a prefix code based on a
Shannon–Fano_coding
Limit on data transfer rate
In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise
Noisy-channel_coding_theorem
Establishes the limits to possible data compression
In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for
Shannon's source coding theorem
Shannon's_source_coding_theorem
Technique to compress data
this code is sometimes called Huffman–Shannon–Fano coding, since it is optimal like Huffman coding, but alphabetic in weight probability, like Shannon–Fano
Huffman_coding
Theorem that tells the maximum rate at which information can be transmitted
coding theorem to the archetypal case of a continuous-time analog communications channel subject to Gaussian noise. The theorem establishes Shannon's
Shannon–Hartley_theorem
Algorithm for binary prefix code
Shannon–Fano–Elias coding is a precursor to arithmetic coding, in which probabilities are used to determine codewords. It is named for Claude Shannon
Shannon–Fano–Elias_coding
Compact encoding of digital data
Range coding Re-Pair Recursive indexing Rice coding Run-length encoding Sequitur algorithm Shannon coding Shannon–Fano coding Shannon–Fano–Elias coding Snappy
Data_compression
Study of the properties of codes and their fitness
There are four types of coding: Data compression (or source coding) Error control (or channel coding) Cryptographic coding Line coding Data compression attempts
Coding_theory
American mathematician (1916–2001)
capacity Shannon entropy Shannon index Shannon multigraph Shannon security Shannon switching game Shannon–Fano coding Shannon–Hartley law Shannon–Hartley
Claude_Shannon
Lossless data compression scheme
entropy coding (or entropy encoding) is any lossless data compression method that attempts to approach the lower bound declared by Shannon's source coding theorem
Entropy_coding
Average uncertainty in variable's states
the channel. Shannon considered various ways to encode, compress, and transmit messages from a data source, and proved in his source coding theorem that
Entropy_(information_theory)
Scheme for controlling errors in data over noisy communication channels
telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors
Error_correction_code
Scientific study of digital information
channel capacity. These codes can be roughly subdivided into data compression (source coding) and error-correction (channel coding) techniques. In the latter
Information_theory
Sufficiency theorem for reconstructing signals from samples
The Nyquist–Shannon sampling theorem is a theorem in the field of signal processing which serves as a fundamental bridge between continuous-time signals
Nyquist–Shannon sampling theorem
Nyquist–Shannon_sampling_theorem
Topics referred to by the same term
with Shannon All pages with titles containing Shannon Shannon index, a biodiversity index Noisy-channel coding theorem, sometimes called Shannon Limit
Shannon
Canadian model and actress (born 1957)
Shannon Lee Tweed Simmons (born March 10, 1957) is a Canadian model and actress. One of the most successful actresses of mainstream erotica, she is identified
Shannon_Tweed
Topics referred to by the same term
Elias coding is a term used for one of two types of lossless coding schemes used in digital communications: Shannon–Fano–Elias coding, a precursor to
Elias_coding
Topics referred to by the same term
Shannon's law may refer to: Shannon's source coding theorem, which establishes the theoretical limits to lossless data compression Shannon–Hartley theorem
Shannon's_law
loss-free communication given by the noisy-channel coding theorem; the practical result of the Shannon–Hartley law for the channel capacity of a Gaussian
History_of_information_theory
How many different types are in a dataset
an elaboration of coding procedures described informally above. Chao, A.; Shen, T-J. (2003). "Nonparametric estimation of Shannon's index of diversity
Diversity_index
American statistician (born 1910)
theory. One of his results is the strong converse to Claude Shannon's coding theorem. While Shannon could prove only that the block error probability can not
Jacob_Wolfowitz
Statistical distance measure
probability theory and statistics, the Jensen–Shannon divergence, named after Johan Jensen and Claude Shannon, is a method of measuring the similarity between
Jensen–Shannon_divergence
American actress (born 1985)
Shannon Elizabeth Kane (born September 14, 1986) is an American actress. She is best known for her roles as Traci Madsen on the Nick at Nite family drama
Shannon_Kane
Entropy coding method
Range coding (or range encoding) is an entropy coding method defined by G. Nigel N. Martin in a 1979 paper, which effectively rediscovered the FIFO arithmetic
Range_coding
Measure of capacity of a communications channel defined from a graph
effectively only two of them can be used with this coding scheme. However, more complicated coding schemes allow a greater amount of information to be
Shannon_capacity_of_a_graph
1948 scholarly article by Claude Shannon
information entropy, redundancy and the source coding theorem, and introduced the term bit (which Shannon credited to John Tukey) as a unit of information
A Mathematical Theory of Communication
A_Mathematical_Theory_of_Communication
American mathematician (1923–2007)
his work with algebraic coding theory, probability theory, and distributed source coding. He was colleagues with Claude Shannon and Richard Hamming at
David_Slepian
High-performance forward error correction codes
2013. The first public paper on turbo codes was "Near Shannon Limit Error-correcting Coding and Decoding: Turbo-codes". This paper was published 1993 in
Turbo_code
American mathematician
information theory, and coding theory. In coding theory he proved the Interactive Coding Theorem (a generalization of the Shannon Coding Theorem.) In clustering
Leonard_Schulman
Set of codewords, none a prefix of another
codes include Huffman codes and the earlier Shannon–Fano codes, and universal codes such as: Elias delta coding Elias gamma coding Elias omega coding
Prefix_code
Digital satellite television standard
also known as Irregular Repeat-Accumulate codes. VCM (Variable Coding and Modulation) and ACM (Adaptive Coding and Modulation) modes, which allow optimizing
DVB-S2
Speech analysis and encoding technique
signals hidden in noise. Soon after Claude Shannon established a general theory of coding, work on predictive coding was done by C. Chapin Cutler, Bernard
Linear_predictive_coding
country codes are telephone number prefixes for reaching subscribers in foreign countries or areas by international direct dialing (IDD). Country codes are
List of telephone country codes
List_of_telephone_country_codes
American gun violence prevention activist (born 1971)
Shannon Watts (born January 1, 1971) is an American gun violence prevention activist and the founder of Moms Demand Action. Watts has campaigned for a
Shannon_Watts
Unit of information
The shannon (symbol: Sh) is a unit of information named after Claude Shannon, the founder of information theory. IEC 80000-13 defines the shannon as the
Shannon_(unit)
Form of entropy encoding used in data compression
Shannon's source coding theorem establishes as the minimum average number of bits per symbol that any lossless method can achieve. Arithmetic coding approaches
Arithmetic_coding
Cambridge, Massachusetts – Shannon–Fano coding 1949 – Leon G. Kraft discovers Kraft's inequality, which shows the limits of prefix codes 1949 – Marcel J. E.
Timeline of information theory
Timeline_of_information_theory
Encoded data represented in binary notation
Circuits, which implemented his findings. Shannon's thesis became a starting point for the use of the binary code in practical applications such as computers
Binary_code
Quantity in information theory
needed to transmit the event given an optimal source coding of the random variable. The Shannon information is closely related to entropy, which is the
Information_content
Canadian actress (b 1973)
Polly Shannon (born September 1, 1973) is a Canadian actress. She is best known for her portrayal of Margaret Trudeau in the 2002 miniseries Trudeau,
Polly_Shannon
American comedy television series
Ferrell, Harper Steele, and Chris Henchy, and starring Ferrell and Molly Shannon. It premiered on Netflix on July 16, 2026. Lonnie "The Hawk" Hawkins, a
The_Hawk_(TV_series)
Normalized signal-to-noise ratio measure
case of infinite bandwidth. The Shannon limit for finite-bandwidth signals is always higher. For any given system of coding and decoding, there exists what
Eb/N0
American actress
Shannon Lucio (born June 25, 1980) is an American actress. Born in Denver, Colorado, Lucio grew up in San Antonio, Texas, and graduated from John Marshall
Shannon_Lucio
Reduction of image size to save storage and transmission costs
important measure. Entropy coding started in the late 1940s with the introduction of Shannon–Fano coding, the basis for Huffman coding which was published in
Image_compression
American gymnast (born 1977)
Shannon Lee Miller (born March 10, 1977) is an American former artistic gymnast. She was the 1993 and 1994 world all-around champion, the 1992 Summer
Shannon_Miller
American software company
8, 2025). "Why tech is racing to adopt AI coding". Fortune. Retrieved May 5, 2026. "SpaceX to buy AI coding startup Cursor for $60 billion in enterprise
Cursor_(company)
Submarine communication
transmitted very slowly, on the order of a few characters per minute (see Shannon's coding theorem). Thus it was only ever used by the U.S. Navy to give instructions
Communication_with_submarines
Type of error correcting code
polar codes for channel coding. The improvements have been introduced so that the channel performance has now almost closed the gap to the Shannon limit
Polar_code_(coding_theory)
Linear error correcting code
turbo codes, they have gained prominence in coding theory and information theory since the late 1990s. The codes today are widely used in applications ranging
Low-density_parity-check_code
Information-theoretic measure
Kraft–McMillan theorem establishes that any directly decodable coding scheme for coding a message to identify one value x i {\displaystyle x_{i}} out of
Cross-entropy
Each NPA is identified by one or more numbering plan area codes (NPA codes, or area codes), consisting of three digits that are prefixed to each local
List of North American Numbering Plan area codes
List_of_North_American_Numbering_Plan_area_codes
Sequence of digital values used for synchronisation
delay and accuracy of received data. In 1948 the mathematician Claude Shannon published an article '"A Mathematical Theory of Communication"' which laid
Barker_code
Information-theoretical limit on transmission rate in a communication channel
over a communication channel. Following the terms of the noisy-channel coding theorem, the channel capacity of a given channel is the highest information
Channel_capacity
Transmission of language with brief pulses
Morse, leaving only two coding elements, the dot and the dash. Codes for German umlauted vowels and CH were introduced. Gerke's code was adopted in Germany
Morse_code
American computer programmer
Processing! Daniel Shiffman on GitHub The Coding Train website The Coding Train on YouTube Official Nature of Code book website Online Nature of Code course
Daniel_Shiffman
Problem in information theory and communication
video/multimedia compression (see distributed video coding). One of the main properties of distributed source coding is that the computational burden in encoders
Distributed_source_coding
Country code: +353 International call prefix: 00 Trunk prefix: 0 This is a list of telephone dialling codes for the Republic of Ireland. Fixed-line telephone
List of dialling codes in the Republic of Ireland
List_of_dialling_codes_in_the_Republic_of_Ireland
Topic in mathematics
other results) the source coding theorem for non-stationary source (with independent output symbols) and noisy-channel coding theorem for non-stationary
Asymptotic equipartition property
Asymptotic_equipartition_property
Generative AI chatbot by OpenAI
executable code was highly variable. When compared to similar chatbots at the time, the GPT-4 version of ChatGPT was the most accurate at coding. Check Point
ChatGPT
American actress
Polo's Code". Behind the Voices. Inyxception Enterprises. Retrieved 3 November 2022. Shannon Settlemyre at Anime News Network's encyclopedia Shannon Hemeon
Shannon_Settlemyre
K Country code: 64 International call prefix: 00 Trunk prefix: 0 New Zealand's telephone numbering plan divides the country into a large number of local
List of dialling codes in New Zealand
List_of_dialling_codes_in_New_Zealand
Digital representation of sampled analog signals
Bernard M. Oliver and Claude Shannon as the inventors of PCM, as described in "Communication System Employing Pulse Code Modulation", U.S. patent 2,801
Pulse-code_modulation
American mathematician (1923–2013)
mathematician and coding theorist, a longtime researcher at Bell Laboratories. His accomplishments include the Gilbert–Varshamov bound in coding theory, the
Edgar_Gilbert
Theoretical model of sensory neuroscience
optimized for coding images (or sounds) representative of those found in nature. Researchers have shown that filters optimized for coding natural images
Efficient_coding_hypothesis
Computer programming convention
example code is 4 spaces even though this varies by coding convention. Attributes of C, C++ and other curly-brace programming language coding style include
Indentation_style
Identification code for countries
codes, to identify ITU member-countries. The developers of ISO 3166 intended that in time it would replace other coding systems. FIPS country codes:
Country_code
Technique used in signal processing and data compression
motion-compensated DCT or adaptive scene coding, in 1981. Motion-compensated DCT later became the standard coding technique for video compression from the
Discrete_cosine_transform
Limit on code size in coding theory
bound on the size of a (not necessarily linear) code. It is occasionally known as the Gilbert–Shannon–Varshamov bound (or the GSV bound), but the name
Gilbert–Varshamov_bound
problems in information theory. These are separated into source coding and channel coding. There are also related unsolved problems in philosophy. Capacity
List of unsolved problems in information theory
List_of_unsolved_problems_in_information_theory
City in Ireland
city straddles the River Shannon, with the historic core of the city located on King's Island, which is bounded by the Shannon and Abbey Rivers. Limerick
Limerick
Information held in the state of a quantum system
through Claude Shannon. Shannon developed two fundamental theorems of information theory: noiseless channel coding theorem and noisy channel coding theorem.
Quantum_information
European-American actor (1943–2023)
2023) was an American actor known for playing Aristotle Nostradamus "Bull" Shannon, a bailiff on the NBC sitcom Night Court from 1984 to 1992. Moll also voiced
Richard_Moll
communication, the Slepian–Wolf coding, also known as the Slepian–Wolf bound, is a result in distributed source coding discovered by David Slepian and
Slepian–Wolf_coding
Kullback–Leibler divergence lossless compression negentropy noisy-channel coding theorem (Shannon's theorem) principle of maximum entropy quantum information science
Index of information theory articles
Index_of_information_theory_articles
wrong. Noisy channel coding theorem See Deppe 2007 and Hill 1995. Berlekamp 1964. Deppe 2007. Berlekamp, Elwyn R. (1964). Block coding with noiseless feedback
Error-correcting codes with feedback
Error-correcting_codes_with_feedback
American electrical engineer (born 1931)
the National Academy of Engineering (NAE) in 1979 for contributions to coding and communications theory and practice. He was also elected an IEEE Fellow
Robert_G._Gallager
Turkish professor (born 1958)
1987. Arıkan developed polar codes, a system of coding that provides a mathematical basis for the solution of Shannon's channel capacity problem. He presented
Erdal_Arıkan
Unit of information
2025-01-07. Abramson, Norman (1963). Information theory and coding. McGraw-Hill. Shannon, Claude Elwood (July 1948). "A Mathematical Theory of Communication"
Bit
of a three-digit area code, a three-digit central office code, also known as exchange code, and a four-digit station or line code. This is represented
Telephone_numbers_in_Canada
Telephone prefix in the international telephone numbering plan
A telephone country code is a country-specific telephone number prefix for international direct dialing (IDD), a system for reaching telephone service
Telephone_country_code
Measure of dependence between two variables
specifically, it quantifies the "amount of information" (in units such as shannons (bits), nats or hartleys) obtained about one random variable by observing
Mutual_information
Error-correcting codes used in wireless communication
(2005). Error Control Coding (2 ed.). Pearson. ISBN 978-0-13-017973-9. Chapter 4. J.H. van Lint (1992). Introduction to Coding Theory. GTM. Vol. 86 (2 ed
Reed–Muller_code
Error-correcting codes
In information theory and coding theory, Reed–Solomon codes are a group of error-correcting codes that were introduced by Irving S. Reed and Gustave Solomon
Reed–Solomon_error_correction
Town in County Leitrim, Ireland
Carrick-on-Shannon (Irish: Cora Droma Rúisc, meaning 'weir of the marshy ridge') is the county town of County Leitrim in Ireland. It is the largest town
Carrick-on-Shannon
Finnish information theorist (1932–2020)
description length (MDL) principle and practical approaches to arithmetic coding for lossless data compression. His work inspired the development of the
Jorma_Rissanen
Computer technology
"Burrows-Wheeler Transform and combination of Move-to-Front coding and Run Length Encoding for lossless audio coding". 2014 9th International Conference on Computer
Silence_compression
Device or program that encodes/decodes audio data in some bitstream format
algorithms are based on modified discrete cosine transform (MDCT) coding and linear predictive coding (LPC). In hardware, audio codec refers to a single device
Audio_codec
President of the United States (2017–2021; since 2025)
pipeline". BBC News. December 21, 2019. Retrieved October 5, 2021. Bugos, Shannon (September 2019). "U.S. Completes INF Treaty Withdrawal". Arms Control
Donald_Trump
classical error-correcting codes are based on sparse graphs, achieving close to the Shannon limit. The archetypal sparse-graph codes are Gallager's low-density
Sparse_graph_code
Large language model family by xAI
Build, Its First AI Coding Agent". PCMag Canada. May 15, 2026. Retrieved May 25, 2026. Smith, Tom (May 15, 2026). "xAI Enters the Coding Agent Race With Grok
Grok_(chatbot)
City in Quebec, Canada
Shannon is a city in Quebec, Canada, and is along the Jacques-Cartier River northwest of Quebec City. It was formed in December 1946, when it separated
Shannon,_Quebec
Dutch engineer, inventor, and entrepreneur (born 1946)
standard, the Red Book. He contributed to the EFM and CIRC coding schemes. In the article, "Shannon, Beethoven, and the Compact Disc", Immink presents a historical
Kees_Schouhamer_Immink
Topics referred to by the same term
Secure function evaluation, in cryptography Sigma Phi Epsilon Shannon-Fano-Elias coding, a lossless data compression algorithm Society of Fuse Engineers
SFE
Reliable digital data delivery methods on unreliable channels
In information theory and coding theory with applications in computer science and telecommunications, error detection and correction (EDAC) or error control
Error detection and correction
Error_detection_and_correction
Special-purpose district in Arkansas, United States
governments formed under Arkansas Code §14.94-101 and located within the City of Shannon Hills, Arkansas. Arkansas Code gives the Board of Commissioners
Municipal Property Owners' Improvement Districts of Shannon Hills Arkansas
Municipal_Property_Owners'_Improvement_Districts_of_Shannon_Hills_Arkansas
American information theorist
Claude Shannon. From 1957 until 1966, he served as one of three founding editors of Information and Control. Elias received the Claude E. Shannon Award
Peter_Elias
American artificial intelligence company
Claude to access real-time information from the internet. Claude Code, Anthropic's coding assistant, transitioned from research preview to general availability
Anthropic
Italian pornographic actor (1939–2018)
Mark Shannon (born Manlio Cersosimo; 8 December 1939 – 11 May 2018), sometimes also billed as Mark Shanon or Mark Channon, was an Italian pornographic
Mark_Shannon_(actor)
American electrical engineer (born 1940)
made contributions in telecommunication system theory, specifically in coding theory and information theory. Forney received the B.S.E. degree in electrical
Dave_Forney
SHANNON CODING
SHANNON CODING
Female
English
Variant spelling of English Sharon, SHARRON means "plain, level ground."
Boy/Male
American, Australian, British, Celtic, English, Irish
Form of Shannon; Wise One; Young Wolf
Girl/Female
Christian & English(British/American/Australian)
Wise
Female
English
Variant spelling of English Shannah, SHANNA means "lily."
Girl/Female
Irish American
Old. Surname and river name.
Boy/Male
American, Gaelic, Hindu, Indian
Little Old Wise One; Old; Ancient; Old River; River of Wisdom
Male
English
Variant spelling of English unisex Shannon, SHANNEN means "old river" or "river of wisdom."
Male
English
Variant spelling of English Brandon, BRANNON means "broom-covered hill."Â
Female
English
English name derived from Hebrew Shoshannah, SHANNAH means "lily."
Girl/Female
American, Australian, Christian, French, Hebrew, Jamaican
In the Holy Land; The Plains; From the Plain of Sharon; Plain
Male
Irish
Variant spelling of Irish Scanlan, SCANLON means "scandal."
Female
Welsh
Variant spelling of Welsh Rhiannon, REANNON means "great queen."
Girl/Female
American, British, Dutch, English, French, Gaelic, Irish
Small and Wise; Old; Ancient; Wise One; River Name; Old River; River of Wisdom
Surname or Lastname
English (chiefly West Country)
English (chiefly West Country) : variant of Cannon ‘canon’, taken from the central French form chanun, as opposed to Norman canun.
Girl/Female
Hebrew American
From the Plain of Sharon (in the Holy Land); from the land of Sharon.
Boy/Male
Irish American
Little old wise one. Surname and river name.
Female
Welsh
Variant spelling of Welsh Rhiannon, RIANNON means "great queen."
Female
Welsh
Welsh name probably derived from the Old Celtic title Rigantona, RHIANNON means "great queen." In mythology, this is the name of a horse goddess equated with Celtic Epona. She was the daughter of Hefeydd and mother of Pryderi.Â
Girl/Female
American, Australian, Chinese, Gaelic, Irish
Wise One; Old; Ancient; River Name; Form of Shannon
Male
Gypsy/Romani
 Probably a Romani form of Hindi Shandar, SHANDOR means "proud."
SHANNON CODING
SHANNON CODING
Girl/Female
Hindu, Indian, Sanskrit, Telugu
Fragrance
Boy/Male
African, Arabic, Australian, Danish, French, Lebanese
Servant of God
Girl/Female
Hindu
Daughter of Indra
Surname or Lastname
English
English : habitational name from any of various places named Woodham. Most, as for example those in Essex and Surrey, are named from Old English wudu ‘wood’ + hÄm ‘homestead’; one in Buckinghamshire, however, probably has as its second element Old English hamm ‘water meadow’, and one in County Durham is from wudum, the dative plural of wudu, originally used after a preposition.
Boy/Male
American, British, English
Raven
Male
German
 Variant spelling of German Etzel, possibly EDSEL means "father." Compare with another form of Edsel.
Boy/Male
Gujarati, Hindu, Indian, Pakistani
Kutchh King
Girl/Female
Celtic Irish Gaelic
From Ireland.
Boy/Male
Tamil
Sakssham | ஸகà¯à®¸à¯à®·à®®
Surname or Lastname
English (Norwich)
English (Norwich) : variant of Moat.
SHANNON CODING
SHANNON CODING
SHANNON CODING
SHANNON CODING
SHANNON CODING
n.
A song.
n.
The European smooth blenny (Blennius pholis). It is olive-green with irregular black spots, and without appendages on the head.
n.
A Turkish saint; a kind of dervish, regarded by the people as a saint: also, a hermit.
n.
A kind of ancient cannon.
n.
An evergreen shrub (Gaultheria Shallon) of Northwest America; also, its fruit. See Salal-berry.
n.
Cannon, collectively; artillery.
n.
Ordnance; cannon.
a.
Furnished with cannon.
pl.
of Cannon
n.
A cannon ball.
n.
Same as Sannup.
n.
To spike, as a cannon.
pl.
of Shanny
pl.
of Cannon
n.
A kind of type. See Canon.
n.
A great gun; a piece of ordnance or artillery; a firearm for discharging heavy shot with great force.
n.
The use of cannon.
n.
A hollow cylindrical piece carried by a revolving shaft, on which it may, however, revolve independently.
n. & v.
See Carom.