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- Trigonometry_in_Galois_fields abstract "In mathematics, trigonometry analogies are supported by the theory of quadratic extensions of finite fields, also known as Galois fields. The main motivation to deal with a finite field trigonometry is the power of the discrete transforms, which play an important role in engineering and mathematics. Significant examples are the well-known discrete trigonometric transforms (DTT), namely the discrete cosine transform and discrete sine transform, which have found many applications in the fields of digital signal and image processing. In the real DTTs, inevitably, rounding is necessary, because the elements of its transformation matrices are derived from the calculation of sines and cosines. This is the main motivation to define the cosine transform over prime finite fields. In this case, all the calculation is done using integer arithmetic.In order to construct a finite field transform that holds some resemblance with a DTT or with a discrete transform that uses trigonometric functions as its kernel, like the discrete Hartley transform, it is firstly necessary to establish the equivalent of the cosine and sine functions over a finite structure.".
- Trigonometry_in_Galois_fields wikiPageExternalLink FFtools.htm.
- Trigonometry_in_Galois_fields wikiPageID "6213565".
- Trigonometry_in_Galois_fields wikiPageLength "19844".
- Trigonometry_in_Galois_fields wikiPageOutDegree "37".
- Trigonometry_in_Galois_fields wikiPageRevisionID "597641653".
- Trigonometry_in_Galois_fields wikiPageWikiLink Absolute_value.
- Trigonometry_in_Galois_fields wikiPageWikiLink Argand_diagram.
- Trigonometry_in_Galois_fields wikiPageWikiLink Category:Finite_fields.
- Trigonometry_in_Galois_fields wikiPageWikiLink Category:Trigonometry.
- Trigonometry_in_Galois_fields wikiPageWikiLink Circle.
- Trigonometry_in_Galois_fields wikiPageWikiLink Circles.
- Trigonometry_in_Galois_fields wikiPageWikiLink Complex_plane.
- Trigonometry_in_Galois_fields wikiPageWikiLink Cyclic_group.
- Trigonometry_in_Galois_fields wikiPageWikiLink Discrete_Hartley_transform.
- Trigonometry_in_Galois_fields wikiPageWikiLink Discrete_cosine_transform.
- Trigonometry_in_Galois_fields wikiPageWikiLink Discrete_logarithm.
- Trigonometry_in_Galois_fields wikiPageWikiLink Discrete_sine_transform.
- Trigonometry_in_Galois_fields wikiPageWikiLink Discrete_transform.
- Trigonometry_in_Galois_fields wikiPageWikiLink Dodecagon.
- Trigonometry_in_Galois_fields wikiPageWikiLink Ellipse.
- Trigonometry_in_Galois_fields wikiPageWikiLink Federal_University_of_Pernambuco.
- Trigonometry_in_Galois_fields wikiPageWikiLink Finite_field.
- Trigonometry_in_Galois_fields wikiPageWikiLink Finite_fields.
- Trigonometry_in_Galois_fields wikiPageWikiLink Galois_field.
- Trigonometry_in_Galois_fields wikiPageWikiLink Gaussian_integer.
- Trigonometry_in_Galois_fields wikiPageWikiLink Generating_set_of_a_group.
- Trigonometry_in_Galois_fields wikiPageWikiLink Group_generator.
- Trigonometry_in_Galois_fields wikiPageWikiLink Haar_measure.
- Trigonometry_in_Galois_fields wikiPageWikiLink Image_processing.
- Trigonometry_in_Galois_fields wikiPageWikiLink Isomorphic.
- Trigonometry_in_Galois_fields wikiPageWikiLink Isomorphism.
- Trigonometry_in_Galois_fields wikiPageWikiLink Kummer_theory.
- Trigonometry_in_Galois_fields wikiPageWikiLink Mathematics.
- Trigonometry_in_Galois_fields wikiPageWikiLink Mersenne_prime.
- Trigonometry_in_Galois_fields wikiPageWikiLink Multiplicative_order.
- Trigonometry_in_Galois_fields wikiPageWikiLink Prime_power.
- Trigonometry_in_Galois_fields wikiPageWikiLink Quadratic_extension.
- Trigonometry_in_Galois_fields wikiPageWikiLink Quadratic_non-residue.
- Trigonometry_in_Galois_fields wikiPageWikiLink Quadratic_residue.
- Trigonometry_in_Galois_fields wikiPageWikiLink Quadratic_residues.
- Trigonometry_in_Galois_fields wikiPageWikiLink Subgroup.
- Trigonometry_in_Galois_fields wikiPageWikiLink Trigonometric_function.
- Trigonometry_in_Galois_fields wikiPageWikiLink Trigonometric_functions.
- Trigonometry_in_Galois_fields wikiPageWikiLink Trigonometry.
- Trigonometry_in_Galois_fields wikiPageWikiLink Unimodular_group.
- Trigonometry_in_Galois_fields wikiPageWikiLink File:Figura_2.png.
- Trigonometry_in_Galois_fields wikiPageWikiLink File:GI(11)_trigonometric_circle.png.
- Trigonometry_in_Galois_fields wikiPageWikiLinkText "Trigonometry in Galois fields".
- Trigonometry_in_Galois_fields wikiPageWikiLinkText "trigonometry in Galois fields".
- Trigonometry_in_Galois_fields hasPhotoCollection Trigonometry_in_Galois_fields.
- Trigonometry_in_Galois_fields wikiPageUsesTemplate Template:Citation_needed.
- Trigonometry_in_Galois_fields wikiPageUsesTemplate Template:Cite_web.
- Trigonometry_in_Galois_fields wikiPageUsesTemplate Template:Clear.
- Trigonometry_in_Galois_fields wikiPageUsesTemplate Template:Expert-subject.
- Trigonometry_in_Galois_fields wikiPageUsesTemplate Template:Refbegin.
- Trigonometry_in_Galois_fields wikiPageUsesTemplate Template:Refend.
- Trigonometry_in_Galois_fields subject Category:Finite_fields.
- Trigonometry_in_Galois_fields subject Category:Trigonometry.
- Trigonometry_in_Galois_fields type Article.
- Trigonometry_in_Galois_fields type Article.
- Trigonometry_in_Galois_fields type Field.
- Trigonometry_in_Galois_fields comment "In mathematics, trigonometry analogies are supported by the theory of quadratic extensions of finite fields, also known as Galois fields. The main motivation to deal with a finite field trigonometry is the power of the discrete transforms, which play an important role in engineering and mathematics.".
- Trigonometry_in_Galois_fields label "Trigonometry in Galois fields".
- Trigonometry_in_Galois_fields sameAs Q7841834.
- Trigonometry_in_Galois_fields sameAs Q7841834.
- Trigonometry_in_Galois_fields wasDerivedFrom Trigonometry_in_Galois_fields?oldid=597641653.
- Trigonometry_in_Galois_fields isPrimaryTopicOf Trigonometry_in_Galois_fields.