Niederreiter, Harald; Winterhof, Arne Applied number theory. (English) Zbl 1328.11001 Cham: Springer (ISBN 978-3-319-22320-9/hbk; 978-3-319-22321-6/ebook). x, 442 p. (2015). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11-01 11T71 11K45 94A60 94B05 11Z05 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{A. Winterhof}, Applied number theory. Cham: Springer (2015; Zbl 1328.11001) Full Text: DOI
Niederreiter, Harald The asymptotic theory of algebraic-geometry codes. (English) Zbl 1208.94070 McGuire, Gary (ed.) et al., Finite fields. Theory and applications. Proceedings of the 9th international conference on finite fields and applications, Dublin, Ireland, July 13–17, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4786-2/pbk). Contemporary Mathematics 518, 339-348 (2010). Reviewer: Fernando Hernando (Cork) MSC: 94B65 11T71 94B27 11G20 11R58 PDFBibTeX XMLCite \textit{H. Niederreiter}, Contemp. Math. 518, 339--348 (2010; Zbl 1208.94070)
Niederreiter, Harald; Xing, Chaoping Algebraic geometry in coding theory and cryptography. (English) Zbl 1185.14002 Princeton, NJ: Princeton University Press (ISBN 978-0-691-10288-7/hbk; 978-1-400-83130-2/ebook). viii, 260 p. (2009). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14-02 14G15 14G50 14H05 94A60 94B27 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{C. Xing}, Algebraic geometry in coding theory and cryptography. Princeton, NJ: Princeton University Press (2009; Zbl 1185.14002)
Ding, Cunsheng; Luo, Jinquan; Niederreiter, Harald Two-weight codes punctured from irreducible cyclic codes. (English) Zbl 1160.94013 Li, Yongqing (ed.) et al., Coding and cryptology. Proceedings of the first international workshop, Wuyi Mountain, Fujian, China, June 11–15, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-223-8/hbk). Series on Coding Theory and Cryptology 4, 119-124 (2008). MSC: 94B05 PDFBibTeX XMLCite \textit{C. Ding} et al., Ser. Coding Theory Cryptol. 4, 119--124 (2008; Zbl 1160.94013) Full Text: DOI Link
Niederreiter, Harald; Özbudak, Ferruh Asymptotically good codes. (English) Zbl 1178.94248 Martínez-Moro, Edgar (ed.) et al., Advances in algebraic geometry codes. Hackensack, NJ: World Scientific (ISBN 978-981-279-400-0/hbk). Series on Coding Theory and Cryptology 5, 181-220 (2008). MSC: 94B27 94B65 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{F. Özbudak}, Ser. Coding Theory Cryptol. 5, 181--220 (2008; Zbl 1178.94248)
Hachenberger, Dirk; Niederreiter, Harald; Xing, Chaoping Function-field codes. (English) Zbl 1278.94072 Appl. Algebra Eng. Commun. Comput. 19, No. 3, 201-211 (2008). MSC: 94B05 14G50 94B27 PDFBibTeX XMLCite \textit{D. Hachenberger} et al., Appl. Algebra Eng. Commun. Comput. 19, No. 3, 201--211 (2008; Zbl 1278.94072) Full Text: DOI
Li, Yongqing (ed.); Ling, San (ed.); Niederreiter, Harald (ed.); Wang, Huaxiong (ed.); Xing, Chaoping (ed.); Zhang, Shengyuan (ed.) Coding and cryptology. Proceedings of the first international workshop, Wuyi Mountain, Fujian, China, June 11–15, 2007. (English) Zbl 1155.94004 Series on Coding Theory and Cryptology 4. Hackensack, NJ: World Scientific (ISBN 978-981-283-223-8/hbk). x, 277 p. (2008). MSC: 94-06 94A60 94Bxx 00B25 PDFBibTeX XMLCite \textit{Y. Li} (ed.) et al., Coding and cryptology. Proceedings of the first international workshop, Wuyi Mountain, Fujian, China, June 11--15, 2007. Hackensack, NJ: World Scientific (2008; Zbl 1155.94004)
Lidl, Rudolf; Niederreiter, Harald Finite fields. Paperback reprint of the hardback 2nd edition 1996. (English) Zbl 1139.11053 Encyclopedia of Mathematics and Its Applications 20. Cambridge: Cambridge University Press (ISBN 978-0-521-06567-2/pbk). xiv, 755 p. (2008). MSC: 11Txx 11-02 11T06 11T30 11T23 11T24 11T55 11Y16 94B05 94B15 11T71 94A24 PDFBibTeX XMLCite \textit{R. Lidl} and \textit{H. Niederreiter}, Finite fields. Paperback reprint of the hardback 2nd edition 1996. Cambridge: Cambridge University Press (2008; Zbl 1139.11053)
Niederreiter, Harald Nets, \((t,s)\)-sequences, and codes. (English) Zbl 1196.11110 Keller, Alexander (ed.) et al., Monte Carlo and quasi-Monte Carlo methods 2006. Selected papers based on the presentations at the 7th international conference ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Ulm, Germany, August 14–18, 2006. Berlin: Springer (ISBN 978-3-540-74495-5/hbk). 83-100 (2008). MSC: 11K45 65C05 11K38 65C10 94B60 PDFBibTeX XMLCite \textit{H. Niederreiter}, in: Monte Carlo and quasi-Monte Carlo methods 2006. Selected papers based on the presentations at the 7th international conference `Monte Carlo and quasi-Monte Carlo methods in scientific computing', Ulm, Germany, August 14--18, 2006. Berlin: Springer. 83--100 (2008; Zbl 1196.11110) Full Text: DOI
Ding, Cunsheng; Niederreiter, Harald Cyclotomic linear codes of order 3. (English) Zbl 1323.94156 IEEE Trans. Inf. Theory 53, No. 6, 2274-2277 (2007). MSC: 94B05 PDFBibTeX XMLCite \textit{C. Ding} and \textit{H. Niederreiter}, IEEE Trans. Inf. Theory 53, No. 6, 2274--2277 (2007; Zbl 1323.94156) Full Text: DOI
Niederreiter, Harald; Özbudak, Ferruh Improved asymptotic bounds for codes using distinguished divisors of global function fields. (English) Zbl 1155.94024 SIAM J. Discrete Math. 21, No. 4, 865-899 (2007). Reviewer: David Joyner (Annapolis) MSC: 94B27 14G50 11R58 11T71 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{F. Özbudak}, SIAM J. Discrete Math. 21, No. 4, 865--899 (2007; Zbl 1155.94024) Full Text: DOI arXiv
Niederreiter, Harald; Özbudak, Ferruh Further improvements on asymptotic bounds for codes using distinguished divisors. (English) Zbl 1124.94017 Finite Fields Appl. 13, No. 3, 423-443 (2007). Reviewer: Ralph-Hardo Schulz (Berlin) MSC: 94B65 94B27 11T71 14G50 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{F. Özbudak}, Finite Fields Appl. 13, No. 3, 423--443 (2007; Zbl 1124.94017) Full Text: DOI
Ling, San; Niederreiter, Harald; Solé, Patrick On the algebraic structure of quasi-cyclic codes. IV: Repeated roots. (English) Zbl 1172.94636 Des. Codes Cryptography 38, No. 3, 337-361 (2006). MSC: 94B05 11T71 94B15 PDFBibTeX XMLCite \textit{S. Ling} et al., Des. Codes Cryptography 38, No. 3, 337--361 (2006; Zbl 1172.94636) Full Text: DOI Link
Niederreiter, Harald Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences. (English) Zbl 1087.11051 Finite Fields Appl. 11, No. 3, 578-600 (2005). Reviewer: Robert F. Tichy (Graz) MSC: 11K45 05B15 11K38 11T30 65C05 94B05 PDFBibTeX XMLCite \textit{H. Niederreiter}, Finite Fields Appl. 11, No. 3, 578--600 (2005; Zbl 1087.11051) Full Text: DOI
Niederreiter, Harald; Xing, Chaoping Disjoint linear codes from algebraic function fields. (English) Zbl 1315.94126 IEEE Trans. Inf. Theory 50, No. 9, 2174-2177 (2004). MSC: 94B05 14G50 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{C. Xing}, IEEE Trans. Inf. Theory 50, No. 9, 2174--2177 (2004; Zbl 1315.94126) Full Text: DOI
Niederreiter, Harald; Özbudak, Ferruh Constructive asymptotic codes with an improvement on the Tsfasman-Vlăduţ-Zink and Xing bounds. (English) Zbl 1072.94017 Feng, Keqin (ed.) et al., Coding, cryptography and combinatorics. Basel: Birkhäuser (ISBN 3-7643-2429-5/hbk). Progress in Computer Science and Applied Logic 23, 259-275 (2004). Reviewer: Nikolai L. Manev (Sofia) MSC: 94B27 94B65 11R58 11T71 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{F. Özbudak}, Prog. Comput. Sci. Appl. Log. 23, 259--275 (2004; Zbl 1072.94017)
Niederreiter, Harald Digital nets and coding theory. (English) Zbl 1065.11057 Feng, Keqin (ed.) et al., Coding, cryptography and combinatorics. Basel: Birkhäuser (ISBN 3-7643-2429-5/hbk). Progress in Computer Science and Applied Logic 23, 247-257 (2004). Reviewer: Arne Winterhof (Linz) MSC: 11K38 65C05 94B05 11K45 PDFBibTeX XMLCite \textit{H. Niederreiter}, Prog. Comput. Sci. Appl. Log. 23, 247--257 (2004; Zbl 1065.11057)
Ding, Cunsheng; Helleseth, Tor; Niederreiter, Harald; Xing, Chaoping The minimum distance of the duals of binary irreducible cyclic codes. (English) Zbl 1062.94053 IEEE Trans. Inf. Theory 48, No. 10, 2679-2689 (2002). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{C. Ding} et al., IEEE Trans. Inf. Theory 48, No. 10, 2679--2689 (2002; Zbl 1062.94053) Full Text: DOI
Niederreiter, Harald; Pirsic, Gottlieb A Kronecker product construction for digital nets. (English) Zbl 1012.11066 Fang, Kai-Tai (ed.) et al., Monte Carlo and quasi-Monte Carlo methods 2000. Proceedings of a conference, held at Hong Kong Baptist Univ., Hong Kong SAR, China, November 27 - December 1, 2000. Berlin: Springer. 396-405 (2002). Reviewer: Arne Winterhof (Wien) MSC: 11K38 11K45 94B05 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{G. Pirsic}, in: Monte Carlo and quasi-Monte Carlo methods 2000. Proceedings of a conference, held at Hong Kong Baptist Univ., Hong Kong SAR, China, November 27 -- December 1, 2000. Berlin: Springer. 396--405 (2002; Zbl 1012.11066)
Niederreiter, Harald; Xing, Chaoping Constructions of digital nets. (English) Zbl 0988.11032 Acta Arith. 102, No. 2, 189-197 (2002). Reviewer: R.F.Tichy (Graz) MSC: 11K38 11K45 94B05 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{C. Xing}, Acta Arith. 102, No. 2, 189--197 (2002; Zbl 0988.11032) Full Text: DOI
Niederreiter, Harald Error-correcting codes and cryptography. (English) Zbl 0989.94027 Alster, Kazimierz (ed.) et al., Public-key cryptography and computational number theory. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11-15, 2000. Berlin: de Gruyter. 209-219 (2001). Reviewer: K.Roegner (Berlin) MSC: 94A60 94B05 PDFBibTeX XMLCite \textit{H. Niederreiter}, in: Public-key cryptography and computational number theory. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11--15, 2000. Berlin: de Gruyter. 209--219 (2001; Zbl 0989.94027)
Niederreiter, Harald; Pirsic, Gottlieb Duality for digital nets and its applications. (English) Zbl 0972.11066 Acta Arith. 97, No. 2, 173-182 (2001). Reviewer: R.F.Tichy (Graz) MSC: 11K38 94B05 11K45 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{G. Pirsic}, Acta Arith. 97, No. 2, 173--182 (2001; Zbl 0972.11066) Full Text: DOI
Niederreiter, Harald; Xing, Chaoping Rational points on curves over finite fields. Theory and Applications. (English) Zbl 0971.11033 London Mathematical Society Lecture Note Series. 285. Cambridge: Cambridge University Press. x, 245 p. (2001). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11G20 11-02 11R58 11R37 14G05 94B27 11K45 14H25 14G15 94A60 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{C. Xing}, Rational points on curves over finite fields. Theory and Applications. Cambridge: Cambridge University Press (2001; Zbl 0971.11033)
Xing, Chaoping; Niederreiter, Harald Applications of algebraic curves to constructions of codes and almost perfect sequences. (English) Zbl 0974.94029 Jungnickel, Dieter (ed.) et al., Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2-6, 1999. Berlin: Springer. 475-489 (2001). Reviewer: Robert F.Lax (Baton Rouge) MSC: 94B27 14G50 11G20 94-02 11K45 PDFBibTeX XMLCite \textit{C. Xing} and \textit{H. Niederreiter}, in: Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2--6, 1999. Berlin: Springer. 475--489 (2001; Zbl 0974.94029)
Ling, San; Niederreiter, Harald; Xing, Chaoping Symmetric polynomials and some good codes. (English) Zbl 1020.94024 Finite Fields Appl. 7, No. 1, 142-148 (2001). Reviewer: H.J.Tiersma (Diemen) MSC: 94B05 11T71 PDFBibTeX XMLCite \textit{S. Ling} et al., Finite Fields Appl. 7, No. 1, 142--148 (2001; Zbl 1020.94024) Full Text: DOI
Ding, Cunsheng; Niederreiter, Harald; Xing, Chaoping Some new codes from algebraic curves. (English) Zbl 1013.94028 IEEE Trans. Inf. Theory 46, No. 7, 2638-2642 (2000). Reviewer: Carlos Munuera (Valladolid) MSC: 94B27 94B05 14G50 PDFBibTeX XMLCite \textit{C. Ding} et al., IEEE Trans. Inf. Theory 46, No. 7, 2638--2642 (2000; Zbl 1013.94028) Full Text: DOI
Niederreiter, Harald; Xing, Chaoping A propagation rule for linear codes. (English) Zbl 0965.94028 Appl. Algebra Eng. Commun. Comput. 10, No. 6, 425-432 (2000). Reviewer: Arnaldo Garcia (Rio de Janeiro) MSC: 94B27 14G50 94B05 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{C. Xing}, Appl. Algebra Eng. Commun. Comput. 10, No. 6, 425--432 (2000; Zbl 0965.94028) Full Text: DOI
Xing, Chaoping; Niederreiter, Harald; Lam, Kwok Yan A generalization of algebraic-geometry codes. (English) Zbl 0956.94023 IEEE Trans. Inf. Theory 45, No. 7, 2498-2501 (1999). MSC: 94B27 94B05 11R58 14G50 PDFBibTeX XMLCite \textit{C. Xing} et al., IEEE Trans. Inf. Theory 45, No. 7, 2498--2501 (1999; Zbl 0956.94023) Full Text: DOI
Xing, Chaoping; Niederreiter, Harald; Lam, Kwok Yan Constructions of algebraic-geometry codes. (English) Zbl 0956.94022 IEEE Trans. Inf. Theory 45, No. 4, 1186-1193 (1999). MSC: 94B27 94B05 14G50 PDFBibTeX XMLCite \textit{C. Xing} et al., IEEE Trans. Inf. Theory 45, No. 4, 1186--1193 (1999; Zbl 0956.94022) Full Text: DOI
Niederreiter, Harald; Xing, Chaoping; Lam, Kwok Yan A new construction of algebraic-geometry codes. (English) Zbl 1035.94016 Appl. Algebra Eng. Commun. Comput. 9, No. 5, 373-381 (1999). MSC: 94B27 94B05 11R58 PDFBibTeX XMLCite \textit{H. Niederreiter} et al., Appl. Algebra Eng. Commun. Comput. 9, No. 5, 373--381 (1999; Zbl 1035.94016) Full Text: DOI
Xing, Chaoping; Niederreiter, Harald Drinfeld modules of rank 1 and algebraic curves with many rational points. (English) Zbl 0982.11034 Monatsh. Math. 127, No. 3, 219-241 (1999). Reviewer: D.Goss (Columbus/Ohio) MSC: 11G09 11G20 11R58 14G15 14H05 11T71 94B27 11R60 PDFBibTeX XMLCite \textit{C. Xing} and \textit{H. Niederreiter}, Monatsh. Math. 127, No. 3, 219--241 (1999; Zbl 0982.11034) Full Text: DOI
Niederreiter, Harald; Xing, Chaoping Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-Varshamov bound. (English) Zbl 0920.11039 Math. Nachr. 195, 171-186 (1998). Reviewer: Arnaldo Garcia (Rio de Janeiro) MSC: 11G20 14H05 11R58 11T71 14G15 94B27 94B65 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{C. Xing}, Math. Nachr. 195, 171--186 (1998; Zbl 0920.11039) Full Text: DOI
Niederreiter, Harald Nets, \((t,s)\)-sequences, and algebraic curves over finite fields with many rational points. (English) Zbl 0899.11038 Doc. Math., Extra Vol. ICM Berlin 1998, vol. III, 377-386 (1998). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11K45 11G20 05B15 11R58 11T71 14G15 14H05 94B27 94B65 PDFBibTeX XMLCite \textit{H. Niederreiter}, Doc. Math. Extra Vol., 377--386 (1998; Zbl 0899.11038) Full Text: EuDML EMIS
Lidl, Rudolf; Niederreiter, Harald Finite fields. 2nd ed. (English) Zbl 0866.11069 Encyclopedia of Mathematics and Its Applications. 20. Cambridge: Cambridge University Press. xiv, 755 p. (1996). Reviewer: Ian F. Blake (Palo Alto) MSC: 11Txx 11-02 11T06 11T30 11T23 11T24 11T55 11Y16 12E20 51E15 94B05 94B15 11T71 94A24 PDFBibTeX XMLCite \textit{R. Lidl} and \textit{H. Niederreiter}, Finite fields. 2nd ed. Cambridge: Cambridge Univ. Press (1996; Zbl 0866.11069)
Lidl, Rudolf; Niederreiter, Harald Introduction to finite fields and their applications. rev. ed. (English) Zbl 0820.11072 Cambridge: Univ. Press,. xi, 416 p. (1994). Reviewer: D.Jungnickel (Augsburg) MSC: 11Txx 11-01 94A60 11T71 94B15 05B25 PDFBibTeX XMLCite \textit{R. Lidl} and \textit{H. Niederreiter}, Introduction to finite fields and their applications. rev. ed. Cambridge: Univ. Press (1994; Zbl 0820.11072)
Niederreiter, Harald A combinatorial problem for vector spaces over finite fields. (English) Zbl 0747.11063 Discrete Math. 96, No. 3, 221-228 (1991). Reviewer: I.F.Blake (Waterloo/Ontario) MSC: 11T99 11T71 94B40 15B33 PDFBibTeX XMLCite \textit{H. Niederreiter}, Discrete Math. 96, No. 3, 221--228 (1991; Zbl 0747.11063) Full Text: DOI
Niederreiter, H. A simple and general approach to the decimation of feedback shift- register sequences. (English) Zbl 0678.10011 Probl. Control Inf. Theory 17, No. 5, 327-331 (1988). Reviewer: H.J.Tiersma MSC: 11B37 11T99 94B99 PDFBibTeX XMLCite \textit{H. Niederreiter}, Probl. Control Inf. Theory 17, No. 5, 327--331 (1988; Zbl 0678.10011)
Lidl, Rudolf; Niederreiter, Harald Introduction to finite fields and their applications. (English) Zbl 0629.12016 Cambridge etc.: Cambridge University Press. VIII, 407 p.; £20.00 (1986). MSC: 11Txx 94A60 94B40 12-01 PDFBibTeX XML
Niederreiter, H. Knapsack-type cryptosystems and algebraic coding theory. (English) Zbl 0611.94007 Probl. Control Inf. Theory 15, 159-166 (1986). MSC: 94A60 94B05 PDFBibTeX XMLCite \textit{H. Niederreiter}, Probl. Control Inf. Theory 15, 159--166 (1986; Zbl 0611.94007)
Niederreiter, H. Distribution properties of feedback shift register sequences. (English) Zbl 0607.94012 Probl. Control Inf. Theory 15, 19-34 (1986). Reviewer: J.Żurawiecki MSC: 94B40 94C10 PDFBibTeX XMLCite \textit{H. Niederreiter}, Probl. Control Inf. Theory 15, 19--34 (1986; Zbl 0607.94012)
Lidl, Rudolf; Niederreiter, Harald [Cohn, Paul M.] Finite fields. Foreword by P. M. Cohn. (English) Zbl 0554.12010 Encyclopedia of Mathematics and Its Applications, Vol. 20. Reading, Massachusetts etc.: Addison-Wesley Publishing Company. Advanced Book Program (1983); Cambridge etc.: Cambridge University Press. xx, 755 p. (1984). Reviewer: Aimo Tietäväinen (Turku) MSC: 11Txx 11-02 11T06 11T30 11T23 11T24 11T55 11Y16 12E20 51E15 94B05 94B15 11T71 94A24 PDFBibTeX XML
Niederreiter, Harald Weights of cyclic codes. (English) Zbl 0357.94008 Inf. Control 34, 130-140 (1977). Reviewer: Fred Sobik MSC: 94B15 PDFBibTeX XMLCite \textit{H. Niederreiter}, Inf. Control 34, 130--140 (1977; Zbl 0357.94008) Full Text: DOI