1-error-correcting codes
An Approach to Detect and Correct Single Bit Data Error Using Reed_Muller Matrix
... an error throughout the transmission of data is awfully familiar ...[1]. Error correcting codes are very valuable in transfer information over lengthy distances or through channels ...
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Error correcting codes for robust color wavelet watermarking
... attacks. Error correcting codes have been widely used to protect the signature (identification of a buyer/seller or transaction) of an image for watermarking ...of error correcting ...of ...
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FPGA Implementation of 3 bits BCH Error Correcting Codes
... BCH codes are one of the most powerful random-error correcting cyclic ...BCH codes can be defined by two parameters that are code size n and the number of errors to be corrected ...BCH ...
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On obtaining pseudorandomness from error correcting codes
... Still, armed with a pseudorandom set that fools low-degree prediction tests it seems tantalizingly close to be able to construct a set that fools low-degree distin- guishing tests. Yao’s famous lemma [Yao82] gives a ...
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Decoding of cyclic codes over the ring F 2[u]/⟨u^t⟩
... Among codes over finite rings the class of cyclic codes is a significant class from both theoretical and practical point of ...cyclic codes are the powerful error-correcting ...
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A Promising Solution for Comparison of Data Coded With Error-Correcting Codes
... The butterfly-formed weight accumulators (BWAs) based hamming distance computing circuit to improve the latency and complexity is used. The block diagram of this proposed architecture is shown in Fig.9. It contains BWA ...
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Comparative Analysis of Error Correcting Codes for Noisy Channel
... of error correcting codes linear block codes and convolutional ...Block codes process the information on a block by block basis, treating each block of information bits independently ...
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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 ...− 1 unique ...Algebraic codes, such as BCH codes, are an alternative coding ...
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Error Correcting Codes for Networks, Storage and Computation
... of error-correction techniques to the data storage realm began when Patterson et ...− 1 of them carry information while the last one stores their exclusive-OR ...Reed–Solomon codes, employs two ...
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Analysis of Error-Correcting Codes for Lattice-Based Key Exchange
... Figure 1 illustrates the encoding and decoding process of BCH ...s, error locator polynomial σ and the zeros of ...the error locator polynomial [8]. The error polynomial e can be determined by ...
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Minimum distances of error correcting codes in incidence rings
... Let R be a ring with identity element 1, and let D = (V ,E) be any graph with the set V = { 1 ,...,n} of vertices and a set E ⊆ V × V of edges. We use the standard definition of an incidence ring (see, e.g., ...
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Blockwise Repeated Burst Error Correcting Linear Codes
... Codes developed at the early stages were meant mainly to detect and cor- rect random errors. However, it was observed later that in many channels the likelihood of the occurrence of errors is more in adjacent ...
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Fundamentals of Error Correcting Codes W Cary Huffman pdf
... Choose an n -tuple with a 1 in position i and 0s elsewhere; the coset leader is the n-tuple and the associated syndrome is column i of H . For the ( n 2 ) cosets of weight 2, choose an n-tuple with two 1s in ...
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MODERATE-DENSITY BURST ERROR CORRECTING LINEAR CODES
... In what follows we shall consider a linear code to be a subspace of n-tuples over GF(q). The weight of a vector shall be considered in the Hamming's sense [Hamming, 1950] and we shall mean by a burst of length b (fixed), ...
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Reusable IP core for Forward Error Correcting Codes
... FEC codes or channel codes have become an inevitable in wireless based digital communication ...of error correcting codes is often referred to as ‗Power ...Fig. 1. shows an ...
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Falcon Codes: Fast, Authenticated LT Codes (Or: Making Rapid Tornadoes Unstoppable)
... Falcon codes, a class of authenticated error correcting codes that are based on LT codes [23] and achieve the following properties, for the first time simultaneously: (1) with ...
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A STUDY & VHDL IMPLEMENTATION OF REED SOLOMON ERROR CORRECTING CODES
... The Encoder architecture shows that one input to each multiplier is a constant field element, which is a coefficient of the polynomial g(x). For a particular block, the information polynomial M(x) is given into the ...
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On products of linear error correcting codes
... all codes are F ...+ 1)/2 products of two elements of a basis of the code C, it is reasonable to expect that a randomly chosen code of length n < k(k + 1)/2 has a square which fills up the whole ...
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Capacity Achieving Forward Error Correcting Codes
... Let us consider a binary input discrete memoryless symmetric (BI-DMS) channel. Channel polarization is a technique by which one manufactures N polarized channels (called bit channels) out of N identical independent ...
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Analysis of Reed Solomon error correcting codes on reconfigurable hardware
... (RS) codes were firstly described in 1960 by Irving S Reed and Gustave Solomon ...(BCH) codes. RS codes are members of the Forward Error Correcting codes ...
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