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Computation of cyclic redundancy checks

Index Computation of cyclic redundancy checks

Computation of a cyclic redundancy check is derived from the mathematics of polynomial division, modulo two. [1]

61 relations: Adler-32, Algorithm, Archive file, Armonk, New York, ASCII, Associative property, Asynchronous serial communication, Binary code, Bit numbering, Bit-serial architecture, Burst error, Byte, Carry (arithmetic), Communications of the ACM, Commutative property, Computer hardware, Constructor (object-oriented programming), CRC-based framing, Cyclic redundancy check, Endianness, Ethernet, Exclusive or, Fiber Distributed Data Interface, Fletcher's checksum, Floppy disk, Forward error correction, Hard disk drive, Hexadecimal, IBM, IBM Journal of Research and Development, IEEE 802, Image file formats, Intel, ITU-T, Linear-feedback shift register, List of hash functions, Long division, Lookup table, Mathematics of cyclic redundancy checks, Microcontroller, Obfuscation (software), Object (computer science), Object composition, Parallel communication, Parallel computing, Parity bit, Portable Network Graphics, Propagation delay, Pseudocode, RS-232, ..., Serial communication, Serial port, Shift register, Software, Space–time tradeoff, Texas Instruments, World Wide Web Consortium, XMODEM, XOR gate, Zip (file format), 8b/10b encoding. Expand index (11 more) »

Adler-32

Adler-32 is a checksum algorithm which was invented by Mark Adler in 1995, and is a modification of the Fletcher checksum.

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Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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Archive file

An archive file is a file that is composed of one or more computer files along with metadata........

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Armonk, New York

Armonk is a hamlet and census-designated place (CDP) in the town of North Castle, New York located in Westchester County.

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ASCII

ASCII, abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication.

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Associative property

In mathematics, the associative property is a property of some binary operations.

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Asynchronous serial communication

Asynchronous serial communication is a form of serial communication in which the communicating endpoints' interfaces are not continuously synchronized by a common clock signal.

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Binary code

A binary code represents text, computer processor instructions, or any other data using a two-symbol system.

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Bit numbering

In computing, bit numbering (or sometimes bit endianness) is the convention used to identify the bit positions in a binary number or a container for such a value.

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Bit-serial architecture

In digital logic applications, bit-serial architectures send data one bit at a time, along a single wire, in contrast to bit-parallel word architectures, in which data values are sent all bits or a word at once along a group of wires.

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Burst error

In telecommunication, a burst error or error burst is a contiguous sequence of symbols, received over a communication channel, such that the first and last symbols are in error and there exists no contiguous subsequence of m correctly received symbols within the error burst.

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Byte

The byte is a unit of digital information that most commonly consists of eight bits, representing a binary number.

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Carry (arithmetic)

In elementary arithmetic, a carry is a digit that is transferred from one column of digits to another column of more significant digits.

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Communications of the ACM

Communications of the ACM is the monthly journal of the Association for Computing Machinery (ACM).

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Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

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Computer hardware

Computer hardware includes the physical parts or components of a computer, such as the central processing unit, monitor, keyboard, computer data storage, graphic card, sound card and motherboard.

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Constructor (object-oriented programming)

In class-based object-oriented programming, a constructor (abbreviation: ctor) is a special type of subroutine called to create an object.

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CRC-based framing

CRC-based framing is a kind of frame synchronization used in Asynchronous Transfer Mode (ATM) and other similar protocols.

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Cyclic redundancy check

A cyclic redundancy check (CRC) is an error-detecting code commonly used in digital networks and storage devices to detect accidental changes to raw data.

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Endianness

Endianness refers to the sequential order in which bytes are arranged into larger numerical values when stored in memory or when transmitted over digital links.

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Ethernet

Ethernet is a family of computer networking technologies commonly used in local area networks (LAN), metropolitan area networks (MAN) and wide area networks (WAN).

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Exclusive or

Exclusive or or exclusive disjunction is a logical operation that outputs true only when inputs differ (one is true, the other is false).

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Fiber Distributed Data Interface

Fiber Distributed Data Interface (FDDI) is a standard for data transmission in a local area network.

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Fletcher's checksum

The Fletcher checksum is an algorithm for computing a position-dependent checksum devised by John G. Fletcher (1934–2012) at Lawrence Livermore Labs in the late 1970s.

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Floppy disk

A floppy disk, also called a floppy, diskette, or just disk, is a type of disk storage composed of a disk of thin and flexible magnetic storage medium, sealed in a rectangular plastic enclosure lined with fabric that removes dust particles.

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Forward error correction

In telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors in data transmission over unreliable or noisy communication channels.

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Hard disk drive

A hard disk drive (HDD), hard disk, hard drive or fixed disk is an electromechanical data storage device that uses magnetic storage to store and retrieve digital information using one or more rigid rapidly rotating disks (platters) coated with magnetic material.

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Hexadecimal

In mathematics and computing, hexadecimal (also base, or hex) is a positional numeral system with a radix, or base, of 16.

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IBM

The International Business Machines Corporation (IBM) is an American multinational technology company headquartered in Armonk, New York, United States, with operations in over 170 countries.

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IBM Journal of Research and Development

IBM Journal of Research and Development is a peer-reviewed bimonthly scientific journal covering research on information systems.

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IEEE 802

IEEE 802 is a family of IEEE standards dealing with local area networks and metropolitan area networks.

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Image file formats

Image file formats are standardized means of organizing and storing digital images.

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Intel

Intel Corporation (stylized as intel) is an American multinational corporation and technology company headquartered in Santa Clara, California, in the Silicon Valley.

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ITU-T

The ITU Telecommunication Standardization Sector (ITU-T) is one of the three sectors (divisions or units) of the International Telecommunication Union (ITU); it coordinates standards for telecommunications.

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Linear-feedback shift register

In computing, a linear-feedback shift register (LFSR) is a shift register whose input bit is a linear function of its previous state.

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List of hash functions

This is a list of hash functions, including cyclic redundancy checks, checksum functions, and cryptographic hash functions.

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Long division

In arithmetic, long division is a standard division algorithm suitable for dividing multidigit numbers that is simple enough to perform by hand.

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Lookup table

In computer science, a lookup table is an array that replaces runtime computation with a simpler array indexing operation.

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Mathematics of cyclic redundancy checks

The cyclic redundancy check (CRC) is based on division in the ring of polynomials over the finite field GF(2) (the integers modulo 2), that is, the set of polynomials where each coefficient is either zero or one, and arithmetic operations wrap around.

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Microcontroller

A microcontroller (MCU for microcontroller unit, or UC for μ-controller) is a small computer on a single integrated circuit.

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Obfuscation (software)

In software development, obfuscation is the deliberate act of creating source or machine code that is difficult for humans to understand.

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Object (computer science)

In computer science, an object can be a variable, a data structure, a function, or a method, and as such, is a value in memory referenced by an identifier.

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Object composition

In computer science, object composition (not to be confused with function composition) is a way to combine simple objects or data types into more complex ones.

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Parallel communication

In data transmission, parallel communication is a method of conveying multiple binary digits (bits) simultaneously.

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Parallel computing

Parallel computing is a type of computation in which many calculations or the execution of processes are carried out concurrently.

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Parity bit

A parity bit, or check bit, is a bit added to a string of binary code to ensure that the total number of 1-bits in the string is even or odd.

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Portable Network Graphics

Portable Network Graphics (PNG, pronounced or) is a raster graphics file format that supports lossless data compression.

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Propagation delay

Propagation delay is a technical term that can have a different meaning depending on the context.

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Pseudocode

Pseudocode is an informal high-level description of the operating principle of a computer program or other algorithm.

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RS-232

In telecommunications, RS-232, Recommended Standard 232 is a standard introduced in 1960 for serial communication transmission of data.

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Serial communication

In telecommunication and data transmission, serial communication is the process of sending data one bit at a time, sequentially, over a communication channel or computer bus.

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Serial port

In computing, a serial port is a serial communication interface through which information transfers in or out one bit at a time (in contrast to a parallel port).

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Shift register

In digital circuits, a shift register is a cascade of flip flops, sharing the same clock, in which the output of each flip-flop is connected to the 'data' input of the next flip-flop in the chain, resulting in a circuit that shifts by one position the 'bit array' stored in it, 'shifting in' the data present at its input and 'shifting out' the last bit in the array, at each transition of the clock input.

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Software

Computer software, or simply software, is a generic term that refers to a collection of data or computer instructions that tell the computer how to work, in contrast to the physical hardware from which the system is built, that actually performs the work.

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Space–time tradeoff

A space–time or time–memory trade-off in computer science is a case where an algorithm or program trades increased space usage with decreased time.

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Texas Instruments

Texas Instruments Inc. (TI) is an American technology company that designs and manufactures semiconductors and various integrated circuits, which it sells to electronics designers and manufacturers globally.

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World Wide Web Consortium

The World Wide Web Consortium (W3C) is the main international standards organization for the World Wide Web (abbreviated WWW or W3).

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XMODEM

XMODEM is a simple file transfer protocol developed as a quick hack by Ward Christensen for use in his 1977 MODEM.ASM terminal program.

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XOR gate

The XOR gate (sometimes EOR gate, or EXOR gate and pronounced as Exclusive OR gate) is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd.

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Zip (file format)

ZIP is an archive file format that supports lossless data compression.

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8b/10b encoding

In telecommunications, 8b/10b is a line code that maps 8-bit words to 10-bit symbols to achieve DC-balance and bounded disparity, and yet provide enough state changes to allow reasonable clock recovery.

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Redirects here:

Computation of CRC, Computation of crc.

References

[1] https://en.wikipedia.org/wiki/Computation_of_cyclic_redundancy_checks

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