Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 12th International S Teo Mora,Harold Mattson Conference proceedings 1997

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大方不好

https://doi.org/10.1007/978-3-319-21239-5 ℤ.-linearity. In this direction, we consider the .-dimensional Lee space of order ., that is, (ℤ., ..), as one of the most interesting spaces for coding applications.We establish the symmetry group of ℤ. for any . and . by determining its isometries.We also show that there is no cyclic subgroup of

GLARE

New Approaches to Heat Storage in Buildings,olygonal path between these points which has the minimum number of segments (links) and the minimum ‘total turn’, that is the sum of absolute values of angles of turns of the consecutive polygon links. We describe an algorithm that solves the problem spending polynomial time to construct one segment

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https://doi.org/10.1007/978-3-031-38420-2ces. These . include classes of self-dual codes, quasi-twisted codes and, trivially, all the group ring codes and the group codes for the Gaussian channel. We believe this link between algebraic coding theory and low-dimensional group cohomology leads to (i) new ways to generate codes; (ii) a better

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Nihal Ali,Shri Ram Manda,Rose Havilah Pullample encoder and can be decoded using standard equipment. Next we find all constacyclic codes whose .-ary images are by a Tschirnhaus transformation isomorphic to shortened cyclic codes. It turns out that this very large class also includes some cyclic codes. As an example the binary image of all cy

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https://doi.org/10.1007/978-981-99-2870-5ants of a Borel set, the other by an extremal property of a packing problem. In the second part, we apply these results to prove the simple-connectedness of certain Hilbert schemes by Gröbner basis theory.

CONE

https://doi.org/10.1007/978-1-4613-3667-9tally. Assuming the sparse code parity-check matrix it is demonstrated that, with probability close to one, the algorithm works far beyond the half minimum distance with complexity linearly proportional to the codeword length and the average number of per bit employed parity-checks.