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Cyclic code
Known as:
Idempotent of a code
, Constacyclic code
, Negacyclic code
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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…
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Related topics
Related topics
25 relations
AN codes
BCH code
Binary Golay code
Block code
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2016
Highly Cited
2016
LCD Cyclic Codes Over Finite Fields
Chengju Li
,
C. Ding
,
Shuxing Li
IEEE Transactions on Information Theory
2016
Corpus ID: 15040612
In addition to their applications in data storage, communications systems, and consumer electronics, linear complementary dual…
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Highly Cited
2009
Highly Cited
2009
Open problems on cyclic codes
P. Charpin
2009
Corpus ID: 116345960
2 Different kinds of cyclic codes. 4 2.1 Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Definitions…
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Highly Cited
2007
Highly Cited
2007
Cyclic codes over the rings Z2 + uZ2 and Z2 + uZ2 + u2Z2
T. Abualrub
,
I. Siap
Des. Codes Cryptogr.
2007
Corpus ID: 33719731
In this paper, we study cyclic codes over the rings Z2 + uZ2 and Z2 + uZ2 + u2Z2 . We find a set of generators for these codes…
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Highly Cited
2006
Highly Cited
2006
Skew-cyclic codes
D. Boucher
,
W. Geiselmann
,
F. Ulmer
Applicable Algebra in Engineering, Communication…
2006
Corpus ID: 10294751
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew…
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Highly Cited
2003
Highly Cited
2003
Cyclic code shift keying: a low probability of intercept communication technique
G. M. Dillard
,
M. Reuter
,
J. Zeiddler
,
B. Zeidler
2003
Corpus ID: 11760686
A low probability of intercept (LPI), or low probability of detection (LPD) communication technique known as cyclic code shift…
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Highly Cited
2001
Highly Cited
2001
On the algebraic structure of quasi-cyclic codes I: Finite fields
S. Ling
,
P. Solé
IEEE Transactions on Information Theory
2001
Corpus ID: 16754424
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cyclic code over a field as a…
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Highly Cited
1995
Highly Cited
1995
Modular andp-adic cyclic codes
A. Calderbank
,
N. Sloane
Des. Codes Cryptogr.
1995
Corpus ID: 1377183
This paper presents some basic theorems giving the structure of cyclic codes of lengthn over the ring of integers modulopa and…
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Highly Cited
1995
Highly Cited
1995
Cyclic codes and quadratic residue codes over Z4
V. Pless
,
Zhongqiang Qian
IEEE Transactions on Information Theory
1995
Corpus ID: 10007336
A set of n-tuples over Z/sub 4/ is called a code over Z/sub 4/ or a Z/sub 4/ code if it is a Z/sub 4/ module. We prove that any Z…
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Highly Cited
1991
Highly Cited
1991
On Repeated-root Cyclic Codes
Guy Castagnoli
,
J. Massey
,
Philipp A. Schoeller
,
Niklaus von Seemann
IEEE Transactions on Information Theory
1991
Corpus ID: 405114
A parity-check matrix for a q-ary repeated-root cyclic code is derived using the Hasse derivative. Then the minimum distance of a…
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Highly Cited
1962
Highly Cited
1962
The use of information sets in decoding cyclic codes
E. Prange
IRE Transactions on Information Theory
1962
Corpus ID: 3351723
A class of decoding algorithms using encoding-and-comparison is considered for error-correcting code spaces. Code words, each of…
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