175 resultados para GF(2m)


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This study establishes that for a given binary BCH code C0 n of length n generated by a polynomial g(x) ∈ F2[x] of degree r there exists a family of binary cyclic codes {Cm 2m−1(n+1)n}m≥1 such that for each m ≥ 1, the binary cyclic code Cm 2m−1(n+1)n has length 2m−1(n + 1)n and is generated by a generalized polynomial g(x 1 2m ) ∈ F2[x, 1 2m Z≥0] of degree 2mr. Furthermore, C0 n is embedded in Cm 2m−1(n+1)n and Cm 2m−1(n+1)n is embedded in Cm+1 2m(n+1)n for each m ≥ 1. By a newly proposed algorithm, codewords of the binary BCH code C0 n can be transmitted with high code rate and decoded by the decoder of any member of the family {Cm 2m−1(n+1)n}m≥1 of binary cyclic codes, having the same code rate.

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Insects of the suborder Heteroptera are known for their odor, for being pests, or for being disease carriers. To gain better insight into the cytogenetic characteristics of heteropterans, 18 species of terrestrial Heteroptera belonging to eight families were studied. The presence of heteropycnotic corpuscles during prophase I, terminal or interstitial chiasmas, telomeric associations between chromosomes, ring disposals of autosomes during metaphase, and late migrations of the sex chromosomes during anaphase were analyzed. These features showed identical patterns to other species of Heteroptera previously described in the literature. Another studied characteristic was chromosome complements. The male chromosome complements observed were 2n = 12 chromosomes [10A + XY, Galgupha sidae (Amyot & Serville) (Corimelaenidae) and Pachycoris torridus (Scopoli) (Scutelleridae)]; 2n = 13 [10A + 2m + X0, Harmostes serratus (Fabricius), Harmostes apicatus (Stål), Jadera haematoloma (Herrich-Schaeffer), Jadera sanguinolenta (Fabricius), Jadera sp. (Rhopalidae)], and Neomegalotomus parvus (Westwood) (Alydidae); 2n = 13 [12A + X0, Stenocoris furcifera (Westwood) (Alydidae); 2n = 14 [12A + XY, Dictyla monotropidia (Stål) (Tingidae)]; 2n = 19 [18A + X0, Acanonicus hahni (Stål) (Coreidae)]; 2n = 21 [18A + 2m + X0, Acanthocephala sp. (Dallas) (Coreidae)]; 2n = 27 [24A + 2m + X0, Anisoscelis foliacea marginella (Dallas) (Coreidae)]; 2n = 18 [16A + XY, Oncopeltus fasciatus (Dallas) (Lygaeidae)]; 2n = 17 [14A + X1X2Y, Oxycarenus hyalinipennis (Costa) (Lygaeidae)]; 2n = 16 [12A + 2m + XY, Pachybrachius bilobatus (Say) (Lygaeidae)]; 2n = 26 [24A + XY, Atopozelus opsinus (Elkins) (Reduviidae)]; and 2n = 27 [24A + X1X2Y, Doldina carinulata (Stål) (Reduviidae)]. The diversity of the cytogenetic characteristics of Heteroptera was reflected in the 18 studied species. Thus, this study extends the knowledge of these characteristics, such as the variations related to chromosome complements, sex chromosome systems, and meiotic behavior.

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Um código BCH C (respectivamente, um código BCH C 0 ) de comprimento n sobre o anel local Zp k (respectivamente, sobre o corpo Zp) é um ideal no anel Zpk [X] (Xn−1) (respectivamente, no anel Zp[X] (Xn−1) ), que ´e gerado por um polinômio mônico que divide Xn−1. Shankar [1] mostrou que as raízes de Xn−1 são as unidades do anel de Galois GR(p k , s) (respectivamente, corpo de Galois GF(p, s)) que é uma extensão do anel Zp k (respectivamente, do corpo Zp), onde s é o grau de um polinômio irredutível f(X) ∈ Zp k [X]. Neste estudo, assumimos que para si = b i , onde b é um primo e i é um inteiro não negativo tal que 0 ≤ i ≤ t, existem extensões de anéis de Galois correspondentes GR(p k , si) (respectivamente, extensões do corpo de Galois GF(p, si)) do anel Zp k (respectivamente, do corpo Zp). Assim, si = b i para i = 2 ou si = b i para i > 2. De modo análogo a [1], neste trabalho, apresentamos uma sequência de códigos BCH C0, C1, · · · , Ct−1C sobre Zp k de comprimentos n0, n1, · · · , nt−1, nt , e uma sequência de códigos BCH C 0 0 , C0 1 , · · · , C0 t−1 , C0 sobre Zp de comprimentos n0, n1, · · · , nt−1, nt , onde cada ni divide p si − 1. Palavras Chave: Anel de Galois, corpo de Galois, código BCH.

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Códigos esféricos n-dimensionais gerados por grupos comutativos em dimensão par, n = 2m, podem ser determinados pelo quociente de reticulados m-dimensionais, quando os vetores que geram o sub-reticulado são mutuamente ortogonais [4]. Apresentamos a construção de sub-reticulados nestas condições, a partir do reticulado hexagonal, A2. Comparamos a distância mínima do código esfé- rico construído através do quociente destes reticulados com o limitante da distância mínima estabelecido em [5].

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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The aim of this study was to evaluate the allelopathic effect of soil samples collected under the canopies of three specimens of Copaifera langsdorffii the germination of Lactuca sativa and survey the natural seed bank according to seasonality. To test the allelopathic effect was carried experiments of pre and post-emergence with seeds of L. sativa and to quantify the stock of seeds, soil samples were collected from three specimens at three distances from the stem (1, 2 and 3 m) and at three depths (0-5, 5-10 and 10-15cm) in the region of savanna in the dry and wet seasons. The samples tested in bioassay of pre-emergence no significant influence on germinability, mean germination time and mean germination speed, but showed a difference in the synchronism of germination, these data were independent of sampling station. In test for post-emergence was observed statistical difference in the parameters evaluate (length of primary roots and hypocotyls) in both seasons. To quantify the natural seed bank were macroscopic analysis of each soil sample with the help of stereoscopic microscope. The analysis of the natural seed bank showed a larger number of seeds in the 0-5cm and in distance of 2m for both seasons. The results suggest the presence of allelochemical substances in soil samples collected under the canopy of Copaifera langsdorffii.

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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When well indicated, the orthodontic surgical approach is the ideal treatment mean for Skeletal Class III adult patients. To improve facial esthetic results from orthognatic surgery, the leveling and alignment of maxillary dental arch must be achieved with minimal inclination and projection or even retro-inclination of anterior upper teeth. During a pre-surgical phase of 12 months, headgear bilateral force of 150 g/F was applied to the upper molars of a 22 years old male compliant patient with Class III skeletal malocclusion, to provide an upper teeth control of mesial tipping and projection during alignment and leveling. The ideal occlusal parameters required for surgical procedure were achieved without dental extractions permitting a total treatment period of 37 months. The outcomes remained stable over 3 years follow up after the removal of the appliance. The results indicate that, although headgear use depends greatly on patient compliance, when well indicated it is an interesting alternativetopromote dentaldecompensationon pre-surgical period, in order to allow surgical correction of skeletal Class III malocclusion.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)