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For a linear code, deep holes are defined to be vectors that are further away from codewords than all other vectors. The problem of deciding whether a received word is a deep hole for generalized Reed–Solomon (GRS) codes is proved to be co-NP-complete by Guruswami and Vardy. For the extended Reed–Solomon codes $RS_{q}( \mathbb {F}_{q},k)$ , a conjecture was made to classify deep holes by Cheng and...
In this paper, a new data model is developed based on known long and short symbols in OFDM WLAN systems. A maximum-likelihood method using this new model is developed. Its performance was investigated with comparison to some existing methods. The new method is shown to be able to provide improved performance.
Memory bounded functions have been designed to combat email spams in a sequence of papers. The cost of computing the functions is usually dominated by random walks over large tables that cannot be put in CPU cache. In this paper, we propose a simple number theoretic way of generating such tables based on exponentiations of sparse polynomials modulo sparse irreducible polynomials over finite fields...
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