Journal of Symbolic Computation
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Information Sciences: an International Journal
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Journal of Symbolic Computation
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Microelectronics Journal
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A modified Guruswami-Sudan algorithm for decoding Reed-Solomon codes
Information Processing Letters
Analysis of the generalized self-shrinking generator
Computers & Mathematics with Applications
On Dillon's class H of bent functions, Niho bent functions and o-polynomials
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Journal of Symbolic Computation
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Automatica (Journal of IFAC)
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Information Processing Letters
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Finite Fields and Their Applications
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Finite Fields and Their Applications
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Finite Fields and Their Applications
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Finite Fields and Their Applications
Finite Fields and Their Applications
On the Structure of Order Domains
Finite Fields and Their Applications
Counting Functions and Expected Values for the k-Error Linear Complexity
Finite Fields and Their Applications
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Information Processing Letters
Representation of sparse Legendre expansions
Journal of Symbolic Computation
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CHES'12 Proceedings of the 14th international conference on Cryptographic Hardware and Embedded Systems
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Designs, Codes and Cryptography
Designs, Codes and Cryptography
Designs, Codes and Cryptography
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ACM Transactions on Algorithms (TALG)
Algebraic attacks on a class of stream ciphers with unknown output function
Designs, Codes and Cryptography
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Image Communication
Digital logic with molecular reactions
Proceedings of the International Conference on Computer-Aided Design
Fast skew-feedback shift-register synthesis
Designs, Codes and Cryptography
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Designs, Codes and Cryptography
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Designs, Codes and Cryptography
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Cryptography and Communications
Hi-index | 754.84 |
It is shown in this paper that the iterative algorithm introduced by Berlekamp for decoding BCH codes actually provides a general solution to the problem of synthesizing the shortest linear feedback shift register capable of generating a prescribed finite sequence of digits. The shift-register approach leads to a simple proof of the validity of the algorithm as well as providing additional insight into its properties. The equivalence of the decoding problem for BCH codes to a shift-register synthesis problem is demonstrated, and other applications for the algorithm are suggested.