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Error-correcting code
The Hadamard code is an error-correcting code named after the French mathematician Jacques Hadamard that is used for error detection and correction when
Hadamard_code
Mathematics concept
of Hadamard's maximal determinant problem. Certain Hadamard matrices can almost directly be used as an error-correcting code using a Hadamard code (generalized
Hadamard_matrix
Family of linear error-correcting codes
that the dual code of the Hamming code is the shortened Hadamard code, also known as a Simplex code. The parity-check matrix has the property that any two
Hamming_code
Class of error-correcting code
Hadamard code is a [ 2 r , r , 2 r − 1 ] 2 {\displaystyle [2^{r},r,2^{r-1}]_{2}} linear code and is capable of correcting many errors. Hadamard code could
Linear_code
Scheme for controlling errors in data over noisy communication channels
practical interest Goppa code, used in the McEliece cryptosystem Hadamard code Hagelbarger code Hamming code Latin square based code for non-white noise (prevalent
Error_correction_code
Involutive change of basis in linear algebra
The Hadamard transform (also known as the Walsh–Hadamard transform, Hadamard–Rademacher–Walsh transform, Walsh transform, or Walsh–Fourier transform) is
Hadamard_transform
First spacecraft to enter orbit around Mars (1971–1972)
Instead of using a repetition code, a [32, 6, 16] Hadamard code was used, which is also a 1st-order Reed-Muller code. Errors of up to seven bits per
Mariner_9
Error-correcting codes used in wireless communication
channels. Reed–Muller codes generalize the Reed–Solomon codes and the Walsh–Hadamard code. Reed–Muller codes are linear block codes that are locally testable
Reed–Muller_code
Binary sequence used in telecommunications
one. Gold codes are used in GPS. The GPS C/A ranging codes are Gold codes of period 1,023. Hadamard code Hamming code JPL code Kasami code Zadoff–Chu
Gold_code
function Hadamard code Hadamard's dynamical system Hadamard manifold Hadamard matrix Hadamard space Hadamard Transform and Hadamard gate Hadamard variance
List of things named after Jacques Hadamard
List_of_things_named_after_Jacques_Hadamard
Type of error-correcting code
Locally decodable codes are especially useful for data transmission over noisy channels. The Hadamard code (a special case of Reed Muller codes) was used in
Locally_decodable_code
Family of error-correcting codes that encode data in blocks
codes, Hadamard codes, Expander codes, Golay codes, Reed–Muller codes and Polar codes. These examples also belong to the class of linear codes, and hence
Block_code
Type of error-correcting code
most famous error-correcting codes, the Hadamard code, is a locally testable code. A codeword x is encoded in the Hadamard code to be the linear function
Locally_testable_code
code K {\displaystyle {\mathit {K}}} form a Hadamard exponent. Thus, x K {\displaystyle {\mathit {xK}}} is the standard form of some complex Hadamard
Coding theory approaches to nucleic acid design
Coding_theory_approaches_to_nucleic_acid_design
GOST (hash function) Group coded recording HAS-160 HAS-V HAVAL Hadamard code Hagelbarger code Hamming bound Hamming code Hamming(7,4) Hamming distance
List of algebraic coding theory topics
List_of_algebraic_coding_theory_topics
Divide-and-conquer algorithm to compute a Hadamard transform
computational mathematics, the Hadamard ordered fast Walsh–Hadamard transform (FWHTh) is an efficient algorithm to compute the Walsh–Hadamard transform (WHT). A naive
Fast_Walsh–Hadamard_transform
Method for encoding data in communications
uses of balanced-weight codes include biphase mark code uses a 1 of 2 code; 6b/8b encoding uses a 4 of 8 code; the Hadamard code is a 2 k − 1 {\displaystyle
Constant-weight_code
System of rules to convert information into another form or representation
Reed–Muller, Walsh–Hadamard, Bose–Chaudhuri–Hochquenghem, Turbo, Golay, algebraic geometry codes, low-density parity-check codes, and space–time codes. Error detecting
Code
Topics referred to by the same term
Hadamard may refer to: Zélie Hadamard (1849–1901), French actress Jacques Hadamard (1865–1963), a French mathematician, whose name is associated with the
Hadamard_(disambiguation)
In coding theory, concatenated codes form a class of error-correcting codes that are derived by combining an inner code and an outer code. They were conceived
Concatenated error correction code
Concatenated_error_correction_code
24-dimensional repeating pattern of points
Voyager probes, as it is much more compact than the previously used Hadamard code. Quantizers, or analog-to-digital converters, can use lattices to minimise
Leech_lattice
Computational theory
= 2 2 k {\displaystyle 2^{n}=2^{2^{k}}} . The Walsh-Hadamard code is a subcode of the long code, and can be obtained by only using functions f i {\displaystyle
Long_code_(mathematics)
Quantum logic gate
gate with respect to a Hadamard transformed basis { | + ⟩ , | − ⟩ } {\displaystyle \{|+\rangle ,|-\rangle \}} . The Hadamard transformed basis of a one-qubit
Controlled_NOT_gate
Code used in quantum error correction
In quantum computing, the Shor code or Shor nine qubit code is a foundational code in quantum error correction that protects quantum information against
Shor_code
Complex-valued mathematical sequence
transmissions. Zadoff–Chu sequences are an improvement over the Walsh–Hadamard codes used in UMTS because they result in a constant-amplitude output signal
Zadoff–Chu_sequence
Basic circuit in quantum computing
sometimes included in instruction sets. The Hadamard or Walsh-Hadamard gate, named after Jacques Hadamard (French: [adamaʁ]) and Joseph L. Walsh, acts
Quantum_logic_gate
Process in quantum computing
classical repetition code. A phase-flip code is similarly constructed and is equivalent to the bit-flip code up to transversal Hadamard gates. Consider the
Quantum_error_correction
American mathematician (1895–1973)
worked mainly in the field of analysis. The Walsh function and the Walsh–Hadamard code are named after him. The Grace–Walsh–Szegő coincidence theorem is important
Joseph_L._Walsh
Multiple access scheme in telecommunications
necessarily for different destinations), to transform these using a Walsh Hadamard transform, followed by an IFFT. A number of alternative possibilities exist
Multi-carrier code-division multiple access
Multi-carrier_code-division_multiple_access
Pair of related error-correcting codes
Golay code is 2.M12, where M12 is the Mathieu group M12. The extended ternary Golay code can be constructed as the span of the rows of a Hadamard matrix
Ternary_Golay_code
Orthogonal matrix
derived from the ordering of the Hadamard matrix by first applying the bit-reversal permutation and then the Gray-code permutation: W ( 8 ) = [ 1 1 1 1
Walsh_matrix
in quantum algorithms such as: Controlled-not with many target qubits, Hadamard operation on many qubits, Phase and controlled phase. Quantum algorithms
Quantum_Computation_Language
one-way functions can be viewed as an algorithm for list-decoding the Hadamard code). Goldwasser, S. and Bellare, M. "Lecture Notes on Cryptography" Archived
Hard-core_predicate
Graphical language for quantum processes
Duncan and Perdrix found the additional Euler decomposition rule for the Hadamard gate, which was used by Backens in 2013 to establish the first completeness
ZX-calculus
concatenation of Reed–Solomon codes with the Hadamard code; this concatenation turns out to be an ϵ {\displaystyle \epsilon } -balanced code, which gives rise to
Small-bias_sample_space
Two-bit quantum communication protocol
H\otimes I} unitary operation on the entangled qubit A. In other words, the Hadamard quantum gate H is only applied to A (see the figure above). If the resultant
Superdense_coding
Definition of quantum circuits
Gottesman–Knill theorem. The Clifford group is generated by three gates: Hadamard, phase gate S, and CNOT. This set of gates is minimal in the sense that
Clifford_gate
Mechanism in quantum computing
controlled NOT gate can be decomposed into a Hadamard gate on its target, then a controlled Z gate, then a second Hadamard gate on its target. This decomposition
Phase_kickback
Digital communications term
each user is given a different code. An OVSF code tree is a complete binary tree that reflects the construction of Hadamard matrices. Baud GPS signals Maral
Chip_(CDMA)
Type of pseudorandom binary sequence
to the Hadamard transform. This relationship allows the correlation of an MLS to be computed in a fast algorithm similar to the FFT. Barker code Complementary
Maximum_length_sequence
Theorem of quantum circuits
The Clifford group can be generated solely by using the controlled NOT, Hadamard, and phase gates (CNOT, H and S); and therefore stabilizer circuits can
Gottesman–Knill_theorem
In mathematics, the Paley construction is a method for constructing Hadamard matrices using finite fields. The construction was described in 1933 by the
Paley_construction
Change of basis applied in quantum computing
quantum circuit consisting of only O ( n 2 ) {\displaystyle O(n^{2})} Hadamard gates and controlled phase shift gates, where n {\displaystyle n} is the
Quantum_Fourier_transform
Concept in mathematics
Walsh functions, the Walsh system, the Walsh series, and the fast Walsh–Hadamard transform are all named after the American mathematician Joseph L. Walsh
Walsh_function
Set of quantum operations
using Hadamard, Phase, and CNOT gates, so the Clifford group is sometimes defined as the (finite) group of unitaries generated using Hadamard, Phase
Clifford_group
eight chips. Therefore, it can also be viewed as a form of generalized Hadamard transform encoding. IEEE Std 802.11b-1999, §18.4.6.5 Van Nee, Richard;
Complementary_code_keying
Format for digital video content
with transform coding. He examined several transform coding techniques, including the DCT, Hadamard transform, Fourier transform, slant transform, and Karhunen-Loeve
Video_coding_format
Method in quantum communication
} Perform a Hadamard on qubit four followed by a CNOT from qubit three to qubit four. End by performing a Hadamard on qubit three: [ 1 0 0
Entanglement-assisted stabilizer formalism
Entanglement-assisted_stabilizer_formalism
Structure in combinatorial mathematics
constructed using the field with 11 elements, and is the Hadamard 2-design associated to the size 12 Hadamard matrix; see Paley construction I. Algebraically this
Block_design
Compact encoding of digital data
1950. Transform coding dates back to the late 1960s, with the introduction of fast Fourier transform (FFT) coding in 1968 and the Hadamard transform in 1969
Data_compression
Widely used standard for video compression
transform block sizes for the integer transform operation. A secondary Hadamard transform performed on "DC" coefficients of the primary spatial transform
Advanced_Video_Coding
Hadamard codes (code values of 0 or 180 degrees) or binary pseudonoise, CI codes are complex-valued orthogonal codes. In the simplest case, CI code values
Carrier_interferometry
Quantum states of two qubits
the simplest takes a computational basis as the input, and contains a Hadamard gate and a CNOT gate (see picture). As an example, the pictured quantum
Bell_state
Type of mathematical array
2, 2) if and only if there exists a Hadamard matrix of order 4λ. To proceed in one direction, let H be a Hadamard matrix of order 4m in standardized form
Orthogonal_array
Quantum computing algorithm
{\displaystyle n} -qubit operations generated by the gates {H, S, CNOT} (where H is Hadamard and S is [ 1 0 0 i ] {\displaystyle {\begin{bmatrix}1&0\\0&i\end{bmatrix}}}
Magic_state_distillation
Inability to picture something in one's mind
the form of the corresponding printed words. As paraphrased by Jacques Hadamard, The first discovery of this by Ribot was the case of a man whom he mentions
Aphantasia
Lattice in 8-dimensional space with special properties
generated by this subgroup and the block diagonal matrix H4⊕H4 where H4 is the Hadamard matrix H 4 = 1 2 [ 1 1 1 1 1 − 1 1 − 1 1 1 − 1 − 1 1 − 1 − 1 1 ] . {\displaystyle
E8_lattice
transform Discrete sine transform Discrete wavelet transform Hadamard transform (or, Walsh–Hadamard transform) Fast wavelet transform Hankel transform, the
List_of_transforms
Geometric inequality applicable to any closed curve
holds for bounded sets S {\displaystyle S} in Hadamard manifolds, which has become known as the Cartan–Hadamard conjecture. In dimension 2 this had already
Isoperimetric_inequality
Deterministic quantum algorithm
|0\rangle } and the final bit is | 1 ⟩ {\displaystyle |1\rangle } . A Hadamard gate is applied to each bit to obtain the state 1 2 n + 1 ∑ x = 0 2 n −
Deutsch–Jozsa_algorithm
Codes and Cryptography. 46 (3): 343–352. doi:10.1007/s10623-007-9163-5. MR 2372843. Kline, Jeffery (26 July 2019). "Geometric search for Hadamard matrices"
Williamson_conjecture
Polynomial root-finding algorithm
Lebedev, A. V.; Trubnikov, Yu. V.; Chernyavsky, M. M. (August 2024). "On the Hadamard and Vandermonde Determinants and the Bernoulli–Euler–Lagrange–Aitken Method
Bernoulli's_method
Discrete Fourier transform algorithm
called interaction algorithm, which provided efficient computation of Hadamard and Walsh transforms. Yates' algorithm is still used in the field of statistical
Fast_Fourier_transform
Topics referred to by the same term
to: Fair wear and tear, in government and aviation industries Fast Walsh–Hadamard transform, a mathematical algorithm Fast wavelet transform, a mathematical
FWT
Cloud quantum computing platform
automatically to |00000>) creg c[5]; // allocate 5 classical bits h q[0]; // Hadamard-transform qubit 0 cx q[0], q[1]; // conditional pauli X-transform (ie.
IBM_Quantum_Platform
Russian mathematician (1935–2017)
systematic codes", Doklady Akademii Nauk SSSR, 131 (5): 1011–1014 V.I. Levenshtein, Application of Hadamard matrices to a problem in coding theory, Problems
Vladimir_Levenshtein
Reduction of image size to save storage and transmission costs
1952. Transform coding dates back to the late 1960s, with the introduction of fast Fourier transform (FFT) coding in 1968 and the Hadamard transform in 1969
Image_compression
x ) ) {\displaystyle (g\circ f)(x)=g(f(x))} for every value of x. 2. Hadamard product of matrices: If A and B are two matrices of the same size, then
Glossary of mathematical symbols
Glossary_of_mathematical_symbols
Symmetric arrangement of finite sets
is built around balanced incomplete block designs (BIBDs), Hadamard matrices and Hadamard designs, symmetric BIBDs, Latin squares, resolvable BIBDs, difference
Combinatorial_design
Mathematical operation on matrices
{B} )+(\mathbf {A} \mathbf {C} )\otimes [\mathbf {B} ,\mathbf {D} ]} . Hadamard product (element-wise multiplication): The mixed-product property also
Kronecker_product
Block cipher
Twofish borrows some elements from other designs; for example, the pseudo-Hadamard transform (PHT) from the SAFER family of ciphers. Twofish has a Feistel
Twofish
Theorem in quantum information science
factors. For example, one might use the controlled NOT gate and the Walsh–Hadamard gate to entangle two qubits without violating the no-cloning theorem as
No-cloning_theorem
video compression. It works by taking a frequency transform, usually a Hadamard transform, of the differences between the pixels in the original block
Sum of absolute transformed differences
Sum_of_absolute_transformed_differences
unstructured search problems Hadamard test: circuit technique for estimating real or imaginary parts of expectation values Hadamard transform: transform used
List_of_algorithms
Topics referred to by the same term
Look up wht in Wiktionary, the free dictionary. WHT may stand for: Walsh–Hadamard transform Westmoreland Heritage Trail, a rail trail in Pennsylvania Western
WHT
linear ordinary differential equations. Hadamard conjecture: for every positive integer k {\displaystyle k} , a Hadamard matrix of order 4 k {\displaystyle
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
1996 Stakenbridge B. G. W. Manning · 9.6 km MPC · JPL 10382 Hadamard 1996 RJ3 Hadamard September 15, 1996 Prescott P. G. Comba · 4.1 km MPC · JPL 10383
List of minor planets: 10001–11000
List_of_minor_planets:_10001–11000
Raster graphics file format
compressed in a 4×4 pixel sub-block with a discrete cosine transform or a Walsh–Hadamard transform. Both transforms are done with fixed-point arithmetic to avoid
WebP
Problem in computer science
Simon's algorithm. The quantum subroutine of the algorithm makes use of the Hadamard transform H ⊗ n | k ⟩ = 1 2 n ∑ j = 0 2 n − 1 ( − 1 ) k ⋅ j | j ⟩ {\displaystyle
Simon's_problem
{\displaystyle Trs} matrix using Hadamard product, (denoted by ∘ {\displaystyle \circ } ) of Tr matrix and n-dimensional Hadamard matrix whose rows (except the
Transpositions_matrix
Sporadic simple group
elements. The double cover 2.M12 is the automorphism group of any 12×12 Hadamard matrix. M12 centralizes an element of order 11 in the monster group, as
Mathieu_group_M12
Technique for comparing quantum states
protocol is | 0 , ϕ , ψ ⟩ {\displaystyle |0,\phi ,\psi \rangle } . After the Hadamard gate, the state of the system is 1 2 ( | 0 , ϕ , ψ ⟩ + | 1 , ϕ , ψ ⟩ )
Swap_test
Golomb coding Golomb ruler Graeco-Latin square Gray code Hadamard matrices Complex Hadamard matrices Butson-type Hadamard matrices Generalized Hadamard matrices
Index of combinatorics articles
Index_of_combinatorics_articles
Special type of Boolean function
applications in cryptography, but have also been applied to spread spectrum, coding theory, and combinatorial design. The definition can be extended in several
Bent_function
2013 open and royalty-free video coding format
lowest quantization level (q index 0) an additional 4×4-block encoded Walsh–Hadamard transformed (WHT) residue signal. In order to be seekable, raw VP9 bitstreams
VP9
Used to count, measure, and label
Riemann in 1859. The prime number theorem was finally proved by Jacques Hadamard and Charles de la Vallée-Poussin in 1896. Goldbach and Riemann's conjectures
Number
named after Alexander Grothendieck List of things named after Jacques Hadamard List of things named after William Rowan Hamilton List of things named
Lists_of_mathematics_topics
descent, independently proposed by Augustin-Louis Cauchy in 1847 and Jacques Hadamard in 1907,[citation needed] are also central to the development of neural
History of artificial neural networks
History_of_artificial_neural_networks
Quantum algorithm
using quantum computing. The quantum algorithm is as follows: Apply a Hadamard transform to the n {\displaystyle n} qubit state | 0 ⟩ ⊗ n {\displaystyle
Bernstein–Vazirani_algorithm
Natural number
Foundation. Retrieved 2022-11-08. Sloane, N. J. A. (ed.). "Sequence A003432 (Hadamard maximal determinant problem: largest determinant of a (real) {0,1}-matrix
32_(number)
Bacon–Shor code is a Subsystem error correcting code. In a Subsystem code, information is encoded in a subsystem of a Hilbert space. Subsystem codes lend to
Glossary_of_quantum_computing
Pairs of sequences
maximum length sequences or M-sequences) Ternary Golay code (Error-correcting code) Walsh-Hadamard sequences Zadoff–Chu sequence Donato, P.G.; Ureña, J
Complementary_sequences
Quantum algorithm for integer factorization
Shor and both are implemented by creating a superposition through using Hadamard gates, followed by implementing f {\displaystyle f} as a quantum transform
Shor's_algorithm
Function in discrete mathematics
{\displaystyle \mathbf {F} ={\begin{bmatrix}1&1\\1&-1\\\end{bmatrix}},} (which is a Hadamard matrix) or when N = 4 {\displaystyle N=4} as in the Discrete Fourier transform
Discrete_Fourier_transform
Quantum key distribution protocol
{\displaystyle a_{i}} is encoded in (either in the computational basis or the Hadamard basis). The qubits are now in states that are not mutually orthogonal,
BB84
British-American mathematician (born 1939)
Theory of Error-Correcting Codes, Elsevier/North-Holland, Amsterdam, 1977. M. Harwit and Neil James Alexander Sloane, Hadamard Transform Optics, Academic
Neil_Sloane
Array of numbers
that can be considered forms of multiplication also exist, such as the Hadamard product and the Kronecker product. They arise in solving matrix equations
Matrix_(mathematics)
Optimization algorithm for artificial neural networks
matrix of the derivative on each node. This is often represented as the Hadamard product with the vector of derivatives, denoted by ( f l ) ′ ⊙ {\displaystyle
Backpropagation
(1999). Jacques Hadamard: A Universal Mathematician. American Mathematical Soc. pp. 33–34. ISBN 978-0-8218-1923-4. In 1924, Hadamard recounted his meetings
List of atheists in science and technology
List_of_atheists_in_science_and_technology
Computer programming for quantum computers
following code implements preparation of a superposition import Quipper spos :: Bool -> Circ Qubit spos b = do q <- qinit b r <- hadamard q return r
Quantum_programming
HADAMARD CODE
HADAMARD CODE
Surname or Lastname
English
English : occupational name for a watchman or guard, from Old English weard ‘guard’ (used as both an agent noun and an abstract noun).Irish : reduced form of McWard, an Anglicized form of Gaelic Mac an Bhaird ‘son of the poet’. The surname occurs throughout Ireland, where three different branches of the family are known as professional poets.Surname adopted by bearers of the Jewish surname Warshawski, Warshawsky or some other Jewish name bearing some similarity to the English name.Americanized form of French Guerin.The surname Ward was brought to North America from England independently by several different bearers in the 17th and 18th centuries. Nathaniel Ward (1578–1652), author of the MA legal code, was born in Haverhill, Suffolk, England, and emigrated to Agawam (Ipswich, MA) in 1633. William Ward was one of the original settlers of Sudbury, MA, in about 1638. Miles Ward came from England to Salem, MA, in about 1639. Thomas Ward (d. 1689) settled in Newport, RI, in 1671; among his descendants were two governors of colonial RI.
Surname or Lastname
English
English : nickname for a person who insisted on a strict code of social behavior.German : topographic name for someone who lived on or by a hill, from Middle High German stickel ‘hill’, ‘slope’ + the suffix -er denoting an inhabitant; in the south an occupational name for someone who shapes and sets stakes in vineyards.
Surname or Lastname
English
English : variant spelling of Coad.
Boy/Male
German Teutonic
Brave.
Girl/Female
American, Australian, British, English, Irish
Cushion; Helpful
Boy/Male
Arabic, Muslim
Rockstar
Boy/Male
British, English
Keeper of the Hedged Enclosure
Male
French
Variant spelling of Norman French Adalard, ADELARD means "noble strength."Â
Male
French
Norman French form of Old High German Adalhard, ADALARD means "noble strength."
Girl/Female
Hindu
Code
Boy/Male
French, German, Teutonic
Noble Eagle; Noble; Courageous; Noble Strength; Brave
Boy/Male
American, Anglo, Australian, British, English, Irish
Cushion; Helpful; Pillow
Girl/Female
Tamil
Code
Boy/Male
American, British, English, Irish
Helpful
Female
Japanese
(1-儀, 2-典, 3-則, 4-法) Japanese unisex name NORI means 1) "ceremony, regalia," 2) "code, precedent," 3) "model, rule, standard," 4) "law, rule."
Boy/Male
Irish American English
Helpful.
HADAMARD CODE
HADAMARD CODE
Girl/Female
Indian, Punjabi, Sikh
Shadow
Male
Spanish
Spanish form of Latin Ulixes, probably ULISES means "to be angry, to hate."
Surname or Lastname
English
English : variant of Lounsbury.
Surname or Lastname
English
English : unexplained.French : habitational name from Delle, a place in Territoire de Belfort. The usual French spelling of the family name is Delles.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Marathi, Tamil, Telugu
Lovable
Girl/Female
Scottish
used as a woman's name.
Surname or Lastname
English and northern Irish
English and northern Irish : variant spelling of Rowley.
Male
Arthurian
, le Brun, an ancient knight.
Girl/Female
Hindu, Indian, Marathi
An Angel
Boy/Male
Hindu, Indian, Punjabi, Sanskrit, Sikh
Sweet
HADAMARD CODE
HADAMARD CODE
HADAMARD CODE
HADAMARD CODE
HADAMARD CODE
n.
A book; a manuscript.
n.
One of the opium alkaloids; a white crystalline substance, C18H21NO3, similar to and regarded as a derivative of morphine, but much feebler in its action; -- called also codeia.
a.
Relating to a codex, or a code.
n.
A collection or digest of laws; a code.
n.
Any system of rules or regulations relating to one subject; as, the medical code, a system of rules for the regulation of the professional conduct of physicians; the naval code, a system of rules for making communications at sea means of signals.
v. t.
To signal by means of a flag waved from side to side according to a code adopted for the purpose.
n.
An unwritten code of law represented to have been given by God to Moses on Sinai.
n.
A codifier; a maker of codes.
n.
Hence, the code of ceremonies observed by an organization; as, the ritual of the freemasons.
n.
A code; a charter; a grant of privileges.
v. t.
To reduce to a code, as laws.
a.
Relating to crime; -- opposed to civil; as, the criminal code.
n.
A collection of canons.
a.
Enacting or threatening punishment; as, a penal statue; the penal code.
n.
An ancient manuscript of the Sacred Scriptures, or any part of them, particularly the New Testament.
n.
The Jewish or Mosaic code, and that part of Scripture where it is written, in distinction from the gospel; hence, also, the Old Testament.
n.
The forms required by good breeding, or prescribed by authority, to be observed in social or official life; observance of the proprieties of rank and occasion; conventional decorum; ceremonial code of polite society.
n.
A law, or rule of doctrine or discipline, enacted by a council and confirmed by the pope or the sovereign; a decision, regulation, code, or constitution made by ecclesiastical authority.
n. sing. & pl.
A body or code of laws.
n.
The act or process of codifying or reducing laws to a code.