Titlebook: Applicable Algebra, Error-Correcting Codes, Combinatorics and Computer Algebra; 4th International Co Thomas Beth,Michael Clausen Conference

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Ulrika Möller,Isabell Schierenbeckix and taking a tree of any nondirected and connected graph G(V,E) we can obtain the matrix of fundamental circuits and the one for fundamental cuts. These are respectively the generator and parity check matrices of a linear code..We are interested in the construction of triangular strongly regular

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William Genieys,Mohammad-Saïd Darvicheificial Intelligence approach. To carry out the interfacing between a Computer Algebra System and graphical tools the GKS graphical standard has been chosen. Franz-LISP was selected as the host language to implement the system..Once the graphical kernel is implemented, the interface modules may be w

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The Resilience of Welfare Elites to Criseses are all equivalent and have parameters [2., 2.–2m, 5]. An explicit formula for the number of codewords of weight 5 and 6 is derived. The weight distribution of the dual codes is related to the weight distribution of a reversible irreducible cyclic code of length 2.+1 and dimension 2m whose weight

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https://doi.org/10.1007/978-3-658-07338-1re in arithmetical progression, that is, w.=w.-A and w.=w.+ A with A a function which depends of the number of words of weight three in C.(n,n-k). Furthermore we obtain some relations between s-sum-sets (s odd) and their parameters.

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Elizabeth Bishop and the Music of Literaturecompared with those needed using Macsyma (for the same polynomials, on the same computer)..The proposed algorithm includes original contributions : a strategy based on Stickelberger‘s theorem, a particular use of the Norm function. and a systematic use of sequences of squares/non-squares in GF (p).

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Elizabeth Bishop and the Music of Literaturegular code, then the covering radius .of C. is equal to s. Furthermore, the restriction of the Hamming scheme H(n,q) to C is an association shceme and its dual association scheme is isomorphic to its Ω-scheme, an association scheme defined on the columns of the generator matrix of C..On the other ha

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Design of a viterbi decoder with microprocessor-based serial implementation,mplementation based on a 16/32-bit microprocessor..This design is only one experimental phase of a final version which will be constructed to operate at a data transmission rate of 32 Kbits/sec, utilizing principally MECL and TTL integrated circuits.