Show simple item record

Factoring bivariate polynomials with integer coefficients via Newton polygon and its application in decoding of some classes of Reed – Solomon codes

dc.contributor.advisorRalević, Nebojša
dc.contributor.otherKovačević, Ilija
dc.contributor.otherLipkovski, Aleksandar
dc.contributor.otherČomić, Lidija
dc.contributor.otherCrvenković, Siniša
dc.contributor.otherRalević, Nebojša
dc.creatorPavkov, Ivan
dc.date.accessioned2017-10-02T12:24:17Z
dc.date.available2017-10-02T12:24:17Z
dc.date.available2020-07-03T14:09:04Z
dc.date.issued2017-09-29
dc.identifier.urihttp://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija150062753330624.pdf?controlNumber=(BISIS)104907&fileName=150062753330624.pdf&id=10288&source=NaRDuS&language=srsr
dc.identifier.urihttp://nardus.mpn.gov.rs/handle/123456789/8641
dc.identifier.urihttp://www.cris.uns.ac.rs/record.jsf?recordId=104907&source=NaRDuS&language=srsr
dc.identifier.urihttp://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije150062754104167.pdf?controlNumber=(BISIS)104907&fileName=150062754104167.pdf&id=10290&source=NaRDuS&language=srsr
dc.description.abstractPredmet istraživanja doktorske disertacije je faktorizacija polinoma dve promenljive sa celobrojnim koeficijentima pomoću njima pridruženih Newton-ovih poligona. Formalizacija potrebnog i dovoljnog uslova za postojanje netrivijalne faktorizacije polinoma dve promenljive sa celobrojnim koeficijentima omogućava konstrukciju efektivnog algoritma za faktorizaciju. Konačno, dobijeni teorijski rezultati su primenjeni na dekodiranje jedne klase Reed – Solomon kodova, miksa dve kodne reči.sr
dc.description.abstractThe research subject of the thesis is factorization of bivariate polynomials with integer coefficients via associated Newton polygons. Formalization of the necessary and sufficient condition for the existence of a non – trivial factorization of an arbitrary bivariate polynomial with integer coefficients obtains theoretical basis for construction of an effective factorization algorithm. Finally, these theoretical results are applied in decoding special class of Reed – Solomon codewords, mixture of two codewords.en
dc.languagesr (latin script)
dc.publisherУниверзитет у Новом Саду, Факултет техничких наукаsr
dc.rightsopenAccessen
dc.sourceУниверзитет у Новом Садуsr
dc.subjectPolinom dve promenljive sa celobrojnim koeficijentimasr
dc.subjectBivariate polynomial with integer coefficientsen
dc.subjectnon – trivial factorizationen
dc.subjectNewton polygonen
dc.subjectReed – Solomon codesen
dc.subjectdecodingen
dc.subjectnetrivijalna faktorizacijasr
dc.subjectNewton-ov poligonsr
dc.subjectReed – Solomon kodovisr
dc.subjectdekodiranjesr
dc.titleFaktorizacija polinoma dve promenljive sa celobrojnim koeficijentima pomoću Newton-ovog poligona i primena u dekodiranju nekih klasa Reed – Solomon kodovasr
dc.title.alternativeFactoring bivariate polynomials with integer coefficients via Newton polygon and its application in decoding of some classes of Reed – Solomon codesen
dc.typedoctoralThesisen
dc.rights.licenseBY-NC
dcterms.abstractРалевић, Небојша; Ковачевић, Илија; Липковски, Aлександар; Чомић, Лидија; Црвенковић, Синиша; Ралевић, Небојша; Павков, Иван;
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/42189/IzvestajKomisije11491.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/42188/Disertacija11491.pdf


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record