Laura Pezza

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In an unordered code, no code word is contained in any other code word. Unordered codes are all unidirectional error detecting (AUED) codes. In the binary case, it is well known that among all systematic codes with <i>k</i> information bits, Berger codes are optimal unordered codes with <i>r</i>=[log<sub>2</sub>(<i>k</i>+1)] &#x2245; log<sub>2</sub><i>k</i>(More)
The aim of this paper is to provide a large class of scaling functions for which the convergence analysis for the Galerkin method developed in [9] is applicable, whereas in that paper the only scaling functions considered for practical applications are B-splines and a few of the orthonormal Daubechies scaling functions. The functions considered here, were(More)
In an unordered code no codeword is contained in any other codeword. Unordered codes are All Unidirectional Error Detecting (AUED) codes. In the binary case, it is well known that among all systematic codes with k information bits, Berger codes are optimal unordered codes with r = &#x2308;log<inf>2</inf>(k+1)&#x2309; check bits. This paper gives some new(More)
A new efficient design of second-order spectralnull (2-OSN) codes is presented. The new codes are obtained by applying the technique used to design parallel decoding balanced (i.e., 1-OSN) codes to the random walk method introduced by some of the authors for designing 2-OSN codes. This gives new non-recursive efficient code designs, which are less redundant(More)
A new efficient coding scheme is given for second-order spectral-null (2-OSN) codes. The new method applies the Knuth's optimal parallel decoding scheme for balanced (i.e., 1-OSN) codes to the random walk method introduced by Tallini and Bose to design 2-OSN codes. If k &#x2208; IN is the length of a 1-OSN code then the new 2-OSN coding scheme has length n(More)
In many communication media, optical systems, and some VLSI systems, only one errors type, either 0 &#x2192; 1 or 1 &#x2192; 0, can occur in any data word and the decoder knows a priori the error type. These types of errors are called asymmetric errors. Asymmetric Varshamov channels could be used to model some physical systems such as multilevel flash(More)
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