Results 231 to 240 of about 27,057 (260)
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IEEE Transactions on Information Theory, 1973
The purpose of this paper is to develop more general techniques for the synthesis of error-correcting codes that dispense with the requirement that coding elements and operations must be associated with finite fields. This approach permits an extension of the class of coded messages and coding operations and leads in certain cases to a reduction of ...
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The purpose of this paper is to develop more general techniques for the synthesis of error-correcting codes that dispense with the requirement that coding elements and operations must be associated with finite fields. This approach permits an extension of the class of coded messages and coding operations and leads in certain cases to a reduction of ...
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Multiple error-correcting WOM-codes
2010 IEEE International Symposium on Information Theory, 2010A Write Once Memory (WOM) is a storage medium with binary memory elements, called cells, that can change from the zero state to the one state only once. Examples of WOMs are punch cards, optical disks, and more recently flash memories. WOM-codes were first presented by Rivest and Shamir and are designed for efficiently storing and updating data in the ...
Eitan Yaakobi +3 more
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1979
In Chapter I-13, we looked at ways of coding messages so that if in the transmission an error occurred in one of the digits of a coded word, the receiver would be able to correct the error. Those codes, called Hamming codes, were based on defining coded words as vectors of solutions in ℤ2 to sets of linear equations.
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In Chapter I-13, we looked at ways of coding messages so that if in the transmission an error occurred in one of the digits of a coded word, the receiver would be able to correct the error. Those codes, called Hamming codes, were based on defining coded words as vectors of solutions in ℤ2 to sets of linear equations.
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IEEE Transactions on Information Theory, 2019
Coding schemes are presented that provide the ability to locate computational errors above a prescribed threshold while using analog resistive devices for approximate real vector–matrix multiplication. In such devices, the matrix is programmed into the device by setting an array of resistors to have conductances proportional to the respective entries ...
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Coding schemes are presented that provide the ability to locate computational errors above a prescribed threshold while using analog resistive devices for approximate real vector–matrix multiplication. In such devices, the matrix is programmed into the device by setting an array of resistors to have conductances proportional to the respective entries ...
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Error-Correcting Codes in Projective Space
2008 IEEE International Symposium on Information Theory, 2008The projective space of order n over the finite field Fq, denoted Pq(n), is the set of all subspaces of the vector space Fn q. The distance function d(U,V) = dim U + dim V - 2 dim(UcapV) turns Pq(n) into a metric space. With this, an (n, M, d) code C in projective space is a subset of Pq(n) of size M such that the distance between any two codewords ...
Tuvi Etzion, Alexander Vardy
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The Horace Method for Error-Correcting Codes
Applicable Algebra in Engineering, Communication and Computing, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ballico, Edoardo, Fontanari, Claudio
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The complexity of error-correcting codes
1997By concatenating linear-time codes with small, good codes, it is possible to construct in polynomial time a family of asymptotically good codes that approach the Shannon bound that can be encoded and decoded in linear time. Moreover, their probability of decoder error is exponentially small in the block length of the codes.
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Non-Binary Error Correction Codes*
Bell System Technical Journal, 1957zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Realization of an Error-Correcting Surface Code with Superconducting Qubits
Physical Review Letters, 2022Futian Liang +2 more
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