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Showing 1 to 8 of 8 for “"Galois fields"”.
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Torsion Subgroups Of Rational Elliptic Curves Over Odd Degree Galois Fields
… for rational elliptic curves over nonic Galois fields. We not only completely determine the set Φ_Q^{Gal}(9), but we also determine the possible torsion subgroups based on the isomorphism type of Gal(K/Q). We then determine the possibilities for the growth of torsion from E(Q)_tors to …
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Torsion Subgroups of Rational Elliptic Curves Over Odd Degree Galois Fields
… for rational elliptic curves over nonic Galois fields. We not only completely determine the set Φ_Q^{Gal}(9), but we also determine the possible torsion subgroups based on the isomorphism type of Gal(K/Q). We then determine the possibilities for the growth of torsion from E(Q)_tors to …
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A Study of Modifications to Quantum Mechanics
… the space of states used are vector spaces over Galois fields instead of complex Hilbert spaces. The particular deformation of the canonical commutation relations used leads to a minimum value of the uncertainty in position which is interpreted as a minimum length scale. Both harmonic and …
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ΜΕΛΕΤΗ ΤΗΣ ΥΠΟΛΟΓΙΣΤΙΚΗΣ ΠΟΛΥΠΛΟΚΟΤΗΤΑΣ ΑΛΓΟΡΙΘΜΩΝ ΤΗΣ ΨΗΦΙΑΚΗΣ ΕΠΕΞΕΡΓΑΣΙΑΣ ΠΟΛΥΔΙΑΣΤΑΤΩΝ ΣΗΜΑΤΩΝ
… DEVELOPED. NEW ALGORITHMS FOR CONVOLUTIONS OVER GALOIS FIELDS ARE PRESENTED. FINALLY THE ERROR ANALYSIS IN FLOATING POINT ARITHMETIC OF THE RECTANGULAR TRANSFORM AND THE MULTIDIMENSIONAL DFTS IS PRESENTED.
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Álgebra de corpos finitos aplicada à teoria da codificação: estudo do codificador BCH.
… code building uses algebraic structure of finite fields and are characterized by operations on polynomials. In order to understand the operation of the BCH codes, we will make a brief introduction to the study of rings, fields, congruence relations on the integers, polynomial rings, Galois fields, …
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Coding performance on satellite channels using AX.25 protocol
… Golay code, Reed-Solomon, RS , codes over the Galois fields of 16, GF(16), and 256, GF(256), elements, and common rate convolutional codes of various constraint lengths. The codes are evaluated on three primary criteria, which include: throughput vs. input bit error rate, coding complexity, and …
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On the construction of balanced and partially balanced factorial experiments
… oy the familiar methods, using the. theory of Galois fields. Although these methods can be extended to asymmetrical factorial experiments· (White and Hultquist, 1965; Raktoe, 1969) the actual construction of designs becomes much mor:e complicated for the general case and does not always lead to …