optimal error-correcting codes
Quantum error-correcting output codes
... an optimal discrim- inative decision hyperplane taking as input a collection of M labelled vectors {(~ x, y) | ~ x ∈ R N , y ∈ {−1, +1}} living in some feature ...
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Capacity Achieving Forward Error Correcting Codes
... bit error rate (BER). Optimal polar code construction is hard and therefore many suboptimal polar code constructions have been proposed at different computational ...Polar codes are also ...
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Distributed Control and Computing: Optimal Estimation, Error Correcting Codes, and Interactive Protocols
... Rapid advances in embedded systems technology have lead to a proliferation of cheap and often low quality sensors with wireless communication capabilities for measuring and recording various physical phenomenon. A ...
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Analysis of Reed Solomon error correcting codes on reconfigurable hardware
... an idle cycle every four clockcycles, because switching the read/write functionality takes one additional clockcycle. This would still mean an overhead of 25%. Solving this problem requires not storing/reading all values ...
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Methodology for bus layout for topological quantum error correcting codes
... However, using a new TLR for each pair of qubits that should be coupled to participate in two-qubit gate operations might not be the most optimal approach to this engineering problem. In fact TLRs are able to ...
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Error Correcting Codes for Networks, Storage and Computation
... of error-correcting codes was first formally conceived in late 1940s by Richard Hamming [Ham47; Ham48; Ham50] as a means of introducing redundancy into information to protect it from ...such ...
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Scaling Conditional Random Fields Using Error Correcting Codes
... high error-correcting capability, and diverse columns such that the weak learners model highly independent ...Algebraic codes, such as BCH codes, are an alternative coding scheme which can ...
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ERA-1101-f25-ErrorDetectingCodes_Apr50.pdf
... While we have shown that the special single error correcting code con- structed in section 3 is of minimum redundancy, we cannot show that all optimal codes are e[r] ...
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Error correcting codes for robust color wavelet watermarking
... It is known that robustness against image distortion is enhanced if the watermark is placed in perceptually sig- nificant parts of the image. This contrasts with one of the requirements of an invisible watermarking ...
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Error-correcting codes and genetics
... random-like codes, i.e., codes such that the distribution of distances between their words is close in some sense to that of random codes (regardless of their actual minimum distance) but constructed ...
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On obtaining pseudorandomness from error correcting codes
... To prove this theorem, we resort to the reconstruction proof methodology but we adapt it to the case of cyclic linear codes. The proof sketch that we saw earlier spent some effort in going from a reasonably correct ...
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A Promising Solution for Comparison of Data Coded With Error-Correcting Codes
... [4] S. Lin and D. J. Costello, Error Control Coding: Fundamentalsand Applications, 2nd ed. Englewood Cliffs, NJ, USA: Prentice-Hall,2004. | [5] International Journal of Science and Applied Information Technology ...
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Fundamentals of Error Correcting Codes W Cary Huffman pdf
... Fundamentals of Error-Correcting Codes is a largely self-contained textbook suitable for advanced undergraduate students and graduate students at any level. A prerequisite for this book is a course ...
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A STUDY & VHDL IMPLEMENTATION OF REED SOLOMON ERROR CORRECTING CODES
... Here error detection and correction techniques have been used which are essential for reliable communication over a noisy ...Solomon codes are very efficient for the detection and correction of burst ...RS ...
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MacWilliams Identity for m-spotty Hamming Weight Enumerator Over the Ring $\mathbb{F}_2+v\mathbb{F}_2$
... byte error control codes can correct or detect multiple spotty byte errors that are distributed in multiple ...These codes are successfully applied to computer memory systems that use RAM chips with ...
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Analysis of Error-Correcting Codes for Lattice-Based Key Exchange
... powerful error-correcting codes within lattice-based key exchange protocols can lead to a significant improvement of important per- formance parameters, such as failure rate, security level and ...
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An Approach to Detect and Correct Single Bit Data Error Using Reed_Muller Matrix
... The rest of the paper is prepared as follows. In section 2, we briefly describe the highlights of the background of the coding scheme used in this paper. Section 3 presents our algorithm for matrix generation and check ...
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Falcon Codes: Fast, Authenticated LT Codes (Or: Making Rapid Tornadoes Unstoppable)
... RS codes and universal hashing to produce secure, homomorphic MACs over the data, resulting in an efficient scheme secure against a mobile ...Raptor codes in the audit protocol, allowing for efficient ...
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FPGA Implementation of 3 bits BCH Error Correcting Codes
... This paper describes the prototyping of a BCH (Bose, Chaudhuri, and Hocquenghem) code using a Field Programmable Gate Array (FPGA) reconfigurable chip. BCH code is one of the most important cyclic block codes. ...
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Decoding of cyclic codes over the ring F 2[u]/⟨u^t⟩
... chain ring is a local ring. Also a finite ring is a finite chain ring if and only if it is a local ring and its maximal ideal is a principal ideal (see proposition 2.1 in [7]). Let hai be a unique maximal ideal of the ...
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