Results 81 to 90 of about 2,328 (103)

New constructions of Boolean functions using cyclotomic cosets

2016 International Conference on Emerging Trends in Communication Technologies (ETCT), 2016
In this paper, the analysis of cyclotomic coset has been done for construction of Boolean functions. Boolean function used in cryptographic systems should have good cryptographic properties against standard or fast algebraic attacks. The cyclotomic coset plays very important role in cryptography. By using cyclotomic coset leader and minimal polynomial,
Kanchan Verma, Dheeraj Kumar Sharma
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Four classes of linear codes from cyclotomic cosets

Designs, Codes and Cryptography, 2017
The study of weight enumerators of linear codes is important for many goals -- it gives the error correcting ability of a given codes but also allows the computation of the probability of error detection and correction. In this paper the authors give four classes of linear codes from coset representatives of subgroups and cyclotomic coset families of ...
Zheng, Dabin, Bao, Jingjun
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Construction of Strongly Mutually Distinct Sudoku Tables and Solid Sudoku Cubes by Cyclotomic Cosets

IEEE Transactions on Games, 2020
A new method of constructing Sudoku tables (STs) (Sudoku Latin squares) is introduced by making use of individual vectors of cyclotomic cosets of $Z_n$ and their Kronecker product. We show that, it is possible to construct $m$ different STs of order $m$ such that for every $0\leq u, v \leq m-1$ the $(u, v)$ -entry of these $m ...
Mehrab Najafian, Mohammad Hesam Tadayon, Morteza Esmaeili   +2 more
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Two applications of cyclotomic cosets to certain BCH codes (Corresp.)

IEEE Transactions on Information Theory, 1980
A more accurate designed distance bound is given for a subclass of narrow-sense primitive Bose-Chaudhuri-Hocquenghem (BCH) codes for which Mann has found the number of information digits. It is also determined when two consecutive odd integers are in the same cyclotomic coset.
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Classes of LDPC codes constructed from elements of finite fields and cyclotomic cosets

2009 11th Canadian Workshop on Information Theory, 2009
In this paper, we derive two algebraic methods for constructing regular low density parity check (LDPC) codes - one based on elements of finite fields and the other directly based on cyclotomic cosets. We show that the constructed codes have high rates and are free of cycles of length four; consequently, they can be decoded using standard iterative ...
Salah A. Aly, Hussein Maza'ar
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Cyclotomy, cyclotomic cosets and arithmetic properties of some families in 𝔽l[x] 〈xptq−1〉

Asian-European Journal of Mathematics, 2022
Arithmetic properties of some families in [Formula: see text] and hence in [Formula: see text] are obtained by using the cyclotomic classes of order 2 with respect to [Formula: see text], where [Formula: see text] is primitive root modulo [Formula: see text], [Formula: see text] and [Formula: see text].
Kapil Kumar, Sudhir Batra
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Space time block code construction based on cyclotomic coset factorization

Proceedings IEEE International Symposium on Information Theory,, 2003
The space time cyclotomic coset factorization codes are a new class of block space time codes which achieve full diversity. The codes are based on classical linear coding theory which facilitates their design. Full rank code constructions also exist based on the Gaussian integer field where p, is a prime number satisfying p, = 4 * n + 1, n an integer.
P. Lusina, S. Shavgulidze, M. Bossert
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Construction of short binary QC-LDPC codes: Cyclotomic coset approach

2012 IEEE 11th International Conference on Signal Processing, 2012
A class of short binary (3, ρ)-regular quasi-cyclic low-density parity-check (QC-LDPC) code called cyclotomic coset (CC) code is constructed on the basis of cyclotomic coset. The length of the CC codes is less than 200 bits. The CC codes perform reasonably well over the additive white Gaussian noise (AWGN) channel with iterative decoding in terms of ...
Yanjing Zhang, Lijun Zhang
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Constructions of irregular nonbinary QC-LDPC codes: Cyclotomic coset approach

2012 IEEE 11th International Conference on Signal Processing, 2012
A cyclotomic coset approach for constructions of irregular nonbinary quasi-cyclic low-density parity-check (QC-LDPC) codes of short length is proposed. QC-LDPC codes obtained by this method perform reasonably well over the additive white Gaussian noise (AWGN) channel with iterative decoding in terms of bit-error performance, error-floor, and decoding ...
Meng Lu, Lijun Zhang
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Cyclotomic cosets and steady state solutions to a dynamic jamming game

Proceedings of 1995 IEEE International Symposium on Information Theory, 2002
For an on-off slotted dynamic jamming game, a relation between the steady state solutions and cyclotomic cosets is established.
R.K. Mallik, R.A. Scholtz
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