In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code. They are error-correcting...

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

Bell Telephone Gray code". Other names include "cyclic binary code", "cyclic progression code", "cyclic permuting binary" or "cyclic permuted binary" (CPB)...

(xxiv+835+1 pages) (NB. Ledley classified the described cyclic code as a cyclic decimal-coded binary code.) Savard, John J. G. (2018) [2006]. "Decimal Representations"...

rely on cyclic codes. This motivates our next definition. A cyclic burst of length ℓ An error vector E {\displaystyle E} is called a cyclic burst error...

In coding theory, the Bose–Chaudhuri–Hocquenghem codes (BCH codes) form a class of cyclic error-correcting codes that are constructed using polynomials...

encoding scheme are not a class of BCH codes, and depending on the set of evaluation points, they are not even cyclic codes. In 1969, an improved BCH scheme...

quadratic residue code is a type of cyclic code. Examples of quadratic residue codes include the ( 7 , 4 ) {\displaystyle (7,4)} Hamming code over G F ( 2...

begin with cyclic: Cyclic chain rule, for derivatives, used in thermodynamics Cyclic code, linear codes closed under cyclic permutations Cyclic convolution...

punctured convolutional code. The Coding Schemes CS-1 to CS-4 specify the number of parity bits generated by the cyclic code and the puncturing rate of...

shifts of strings in L. If L is a cyclic code, then shift(L) ⊆ L; this is a necessary condition for L being a cyclic language. The operation shift(L) has...

for BCH codes. Cyclic codes – every cyclic code is also a polynomial code; a popular example is the CRC code. BCH codes – a family of cyclic codes with high...

Systematic Cyclic Codes". IEEE Convention Record. Vol. 12. Solomon, G.; Stiffler, J.J. (April 1965). "Algebraically punctured cyclic codes". Information...

code sequences. Gold sequence (aka Gold code) JPL sequence (aka JPL code) Kasami, Tadao (1966). Weight Distribution Formula for Some Class of Cyclic Codes...

punctured convolutional code. In GPRS, the Coding Schemes CS-1 to CS-4 specify the number of parity bits generated by the cyclic code and the puncturing rate...

consisting of all basis vectors. (The perfect code is obtained by leaving out ∞.) As a cyclic code: The perfect G23 code can be constructed via the factorization...

an AN code. Cyclic AN codes are a subset of cyclic codes and have the same properties. The Mandelbaum-Barrows Codes are a type of cyclic AN codes introduced...

search process. PAC codes are also equivalent to post-transforming polar codes with certain cyclic codes. At short blocklengths, such codes outperform both...

linear code is a sequence of dual Hamming codes. Some examples of linear codes include: Repetition code Parity code Cyclic code Hamming code Golay code, both...

the code. There are many types of linear block codes, such as Cyclic codes (e.g., Hamming codes) Repetition codes Parity codes Polynomial codes (e.g...

Protocol (HTTP) response status codes are issued by a server in response to a client's request made to the server. It includes codes from IETF Request for Comments...

codeword. In essence this algorithm shows how the presence of a cyclic structure in a DNA code reduces the complexity of the problem of testing the codewords...

discusses cyclic codes 1959 – Alexis Hocquenghem, and independently the next year Raj Chandra Bose and Dwijendra Kumar Ray-Chaudhuri, discover BCH codes 1960...

Cyclic glycine-proline (cGP) is a small neuroactive peptide that belongs to a group of bioactive 2,5-diketopiperazines (2,5-DKPs) and is also known as...

Computation of a cyclic redundancy check is derived from the mathematics of polynomial division, modulo two. In practice, it resembles long division of...

In telecommunication technology, a Barker code or Barker sequence is a finite sequence of digital values with the ideal autocorrelation property. It is...

Cyclic guanosine monophosphate (cGMP) is a cyclic nucleotide derived from guanosine triphosphate (GTP). cGMP acts as a second messenger much like cyclic...

Cyclic peptides are polypeptide chains which contain a circular sequence of bonds. This can be through a connection between the amino and carboxyl ends...

product of two polynomials, say xn − 1 = g(x)p(x). When g(x) generates a cyclic code C, then the reciprocal polynomial p∗ generates C⊥, the orthogonal complement...

Southern Building Code Congress International, Inc. p. 679. ISBN 978-1-58001-302-4. Casagrande, Arthur (1976). "Liquefaction and cyclic deformation of sands:...