irreducible cyclic codes
Cuén-Ramos
... reducible cyclic codes constructed as a direct sum (as vector spaces) of two different semiprimitive two-weight irreducible cyclic ...reducible cyclic codes that was reported in ...
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Some cyclic codes of length ${8p^n}$ over $GF(q)$, where order of $q$ modulo $8p^n$ is $\frac{\phi{(p^n)}}{2}$
... Minimal cyclic codes of length p n q, where p and q are distinct odd primes were derived in ...minimal cyclic codes of length 8 p n were discussed in ...[10,11]. Irreducible ...
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Dinh
... of irreducible cyclic codes ...of cyclic codes with two or three zeros ...of cyclic codes with arbitrary ...of irreducible cyclic ...reducible cyclic ...
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Aydin
... linear codes with best possible parameters is one of the major and challenging problems in coding ...theory. Cyclic codes and their various generalizations, such as quasi-twisted (QT) codes, ...
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A Note on the Rank Bounded Distance and Its Algorithms for Cyclic Codes
... with cyclic code, discrete Fourier transform and the independent set in Section 2, the original proposed algorithm and its simple modification, and the procedure for construction of independent set by their two ...
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Dougherty
... such codes are ideals in the group ring RG, and are held invariant by the action of the elements of ...Such codes are referred to as G-codes. We note that these codes necessarily have the ...
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2-D skew constacyclic codes over R[x, y; ρ, θ]
... Cyclic codes are amongst the most studied algebraic ...Recently codes over rings have generated a lot of interest after a breakthrough paper by Ham- mons et ...non-linear codes are actually ...
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A construction of the high rate regular quasi cyclic LDPC codes
... (LDPC) codes [1], which is one of the main error-correcting codes, has been widely used in various practical applications [2, ...QC-LDPC codes which are prone to the hard- ware implementation [4] and ...
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Counting extended irreducible binary Goppa codes of degree 2p and length 2^n+1
... extended irreducible binary Goppa codes of degree 2p and length 2 n + 1 and non-extended versions of length 2 n , ...of codes are obtained using Remark 20 and Theorem ...
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On the lattice of cyclic codes over finite chain rings
... the cyclic codes over R of length ℓ are uniquely decomposed into a direct sum of trace- representable cyclic codes over R and the lattice of cyclic codes over R of length ℓ is ...
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A parallel Viterbi decoder for block cyclic and convolution codes
... convolution codes. It is nowadays commonly also used for decoding block codes since the usual [2,3] algebraic decoding methods are not always readily adaptable for soft ...convolution codes is found ...
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Efficient Encryption from Random Quasi-Cyclic Codes
... of codes, hence a strongly structured family of ...Goppa codes, is still considered secure today, many variants based on alternative families of codes (Reed-Solomon codes, Reed-Muller ...
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Geography and Botany of Irreducible Symplectic 4-Manifolds with Abelian Fundamental Group
... irreducible smooth manifolds we have the following. Properly applying a torus surgery on a nullhomologous torus as sketched at the end of 2.2 or in [22] produces the desired family. To conclude on their ...
122
An Efficient Majority Logic Fault Detection to reduce the Accessing time for Memory Applications
... he reliability of memories depends on dimensions of the circuit, operating voltages, and integrated density Triple modular redundancy codes and error correcting codes are mostly used for error correcting. ...
5
Optimal, Divisible binary Codes from Gray-Homogeneous Images of Codes over R_{k,m}
... Divisible codes were first introduced by Ward in 1981 in ...Reed-Muller codes are an example of divisible codes, by the following theorem in ...
12
Z2 (Z2+uZ2)(Z2+uZ2+u2Z2)-Additive Cyclic Codes
... Codes over rings were introduced in early 1970s. However this research topic had been widely and really concerned after a milestone paper written by Hammons et al. in 1994, which shown that some special classes of ...
10
CYCLIC CODES OF LENTH N OVER GF q q– CYCLOTOMIC COSETS MODULO N AND APPLICATION OF BURNSIDE’S LEMMA
... International Journal of Scientific and Research Publications, Volume 3, Issue 3, March 2013 ISSN 2250-3153.. is the number of cyclic codes in.[r] ...
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Musukwa
... of codes called Goppa ...of codes. Goppa codes form a subclass of alternant codes which has an interesting algebraic structure ...Goppa codes are said to contain good ...Goppa ...
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Almost flow equivalence and the loop structure of directed graphs
... T h e subshift of finite type (SFT) E A is the set of all doubly infinite paths in the graph A. More formally E A = {(xn )n G l € e J : f(x„) = i(xn + 1 ) V n 6 Z} (where f(x) and i(x) are respectively the final and ...
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Adversarial scheduling analysis of Game Theoretic Models of Norm Diffusion
... the cyclic schedule is irreducible (since one can navigate between any two states in at most |V | rounds, by flipping the differing bits and keeping the bits that coincide fixed) and aperiodic (since the ...
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