Abstract-A new class of spherical codes is constructed by selecting a finite subset of flat tori from a foliation of the unit sphere S 2L−1 ⊂ R 2L and designing a structured codebook on each torus layer. The resulting spherical code can be the image of a lattice restricted to a specific hyperbox in R L in each layer. Group structure and homogeneity, useful for efficient storage and decoding, are inherited from the underlying lattice codebook. A systematic method for constructing such codes are presented and, as an example, the Leech lattice is used to construct a spherical code in R 48 . Upper and lower bounds on the performance, the asymptotic packing density and a method for decoding are derived.

A method for finding an optimum n-dimensional commutative group code of a given order M is presented. The approach explores the structure of lattices related to these codes and provides a significant reduction in the number of non-isometric cases to be analyzed. The classical factorization of matrices into Hermite and Smith normal forms and also basis reduction of lattices are used to characterize isometric commutative group codes. Several examples of optimum commutative group codes are also presented.

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Somadas a situações próprias da adolescência, mudanças oriundas do ingresso no meio universitário, como modificações no padrão alimentar, na prática de atividade física e no consumo de álcool e cigarros podem interferir nas condições nutricionais desse grupo. O presente trabalho objetivou avaliar o estado nutricional e o consumo alimentar dos estudantes ingressantes na Faculdade de Ciências Aplicadas (FCA) da UNICAMP, verificando a hipótese de que há um melhor padrão alimentar nos cursos da área da saúde em comparação a cursos de outras áreas. O estudo avaliou uma amostra de 351 alunos dos diversos cursos da instituição, por meio da coleta de medidas antropométricas: peso e altura, circunferência da cintura e quadril. Além disso, foi aplicado um questionário de frequência alimentar aos estudantes, que foi avaliado de acordo com o recomendado pela Pirâmide Alimentar Brasileira. Observou-se que há um baixo consumo de hortaliças e de frutas entre alunos ingressantes na FCA e, ao contrário do que se esperava com o presente trabalho, os alunos dos cursos da área da saúde, Ciências do Esporte e Nutrição, não apresentaram uma melhor adequação quanto ao consumo alimentar; contudo, apresentaram menor taxa de obesidade em comparação aos cursos de outras áreas, como Engenharia e Gestão.Palavras-chave: avaliação nutricional, consumo alimentar, antropometria. Anthropometric assessment and analysis of dietary intake of university students in the Faculty of Applied Science -UNICAMPBesides teenagers' related conditions, changes associated with the beginning of university environment lifestyle, such as modifications in food intake, physical exercise, alcohol consumption and smoking, can influence both nutritional status and biological vulnerability of this group. This study aimed to evaluate the nutritional status and food intake of freshmen admitted to the School of Applied Sciences (SAS), UNICAMP. In addition, to verify the hypothesis that better results would be found among courses in the field of health compared to courses in other areas. In the study, a sample of 351 students was assessed by anthropometric measurements: weight, height, and waist-to-hip ratio. Also, a food frequency questionnaire was administered to the students in order to compare their consumption with the amount recommended by the Brazilian Food Pyramid. A low consumption of vegetables and fruits was observed among freshmen of SAS. On the contrary of that expected, students admitted to courses belonging to the field of health -Sport Sciences and Nutrition -did not show a better quality in food