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Reed-Solomon code or RS code is widely used for error corrections of data in transmission and storages. However, it is thought of as insecure for direct implementation in code-based cryptography due to plaintext-known attacks. In recent years, McEliece cryptosystem with enhanced public key security by generalized RS code and Goppa code are discussed for hardware implementation. In this work, from...
This paper proposes a novel encoder architecture of low-density parity-check (LDPC) generator matrix in frequency modulation-China digital radio (CDR), which was promulgated in August 2013. We utilize the specific structure of LDPC parity matrix to parallelize row and column encoding operations. An optimized method is also proposed to control memories, which can be reused for the LDPC code with different...
This paper investigates the performance of the BCH encoder and decoder for different error-correcting capabilities. The focus is on BCH codes of length 255. The motivation for this research is a project where data symbols of this length are transmitted over an error-prone wireless channel. The paper presents a mathematical introduction into encoding for cyclic codes and decoding of the BCH code. The...
In this age of information, there is increasing need not only for speed as well as accuracy in the storage, retrieval, and transmission of data. Error correcting codes are a kind of safety net- the mathematical insurance against the vagaries of an imperfect digital world, due to faulty transmission channel, manmade and non-manmade errors, to recover the original data from the corrupted one. Here the...
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