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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 6th International Co Teo Mora Conference proceedings 1989 Springer-Verlag

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A computer-aided design for sampling a nonlinear analytic system,In a recent paper by S. Monaco and D. Normand-Cyrot, a method for sampling a nonlinear continuous-time system was described. The object of this present work is to propose an algorithm for computing the sampled system. A symbolic language (REDUCE) is used for this.
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Decoding of generalized concatenated codes,A decoding algorithm for generalized concatenated codes is described which is a modification of the one propsed in [6]. It is shown that the decoding capability is superior and the complexity is less compared to the previous known decoding algorithms for generalized concatenated codes.
发表于 2025-3-23 19:56:39 | 显示全部楼层
The multiplicative complexity of boolean functions,y circuits over the basis Λ,⊕,1. We relate L(f) with the dimension of the dual domain D(f); D(f) is the minimal linear space of linear boolean forms such that f modulo linear functions can be written as a function which takes for input linear forms in D(f).
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On the complexity of computing class groups of algebraic number fields, . of . and assume that 1, .., ..., .. is a .-basis of the maximal order . of .. In this paper we describe an algorithm by which the class group . of . can be computed in .. binary operations where . denotes the discriminant of ..
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On the asymptotic badness of cyclic codes with block-lengths composed from a fixed set of prime fachich is upper bounded by a function .(.). Hence, cyclic codes with blocklengths such that all prime factors are in . and which have rate .≥. are asymptotically bad in the sense that for these codes ./. tends to zero as . increases to infinity.
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Global dimension of associative algebras,vely computable in the following cases: 1) G is a finitely presented monomial algebra; 2) G is a connected graded s.f.p. algebra and the associated monomial algebra A(G) has finite global dimension. The situation is considerably simpler when G has polynomial growth of degree d and gl.dim A(G)<∞. We show that in this case gl.dim G=gl.dim A(G)=d.
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https://doi.org/10.1007/3-540-51083-4Symbol; algebra; algorithms; complexity; computer; computer algebra; computer science; error-correcting cod
发表于 2025-3-24 16:13:16 | 显示全部楼层
978-3-540-51083-3Springer-Verlag Berlin Heidelberg 1989
发表于 2025-3-24 19:55:22 | 显示全部楼层
The International Energy Landscape,y circuits over the basis Λ,⊕,1. We relate L(f) with the dimension of the dual domain D(f); D(f) is the minimal linear space of linear boolean forms such that f modulo linear functions can be written as a function which takes for input linear forms in D(f).
发表于 2025-3-25 00:21:10 | 显示全部楼层
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