[For codes in the sense of formal languages (variable length codes) see words. For Gröbner bases applied to coding theory see the folder on Gröbner bases. --------------------------------------- 19278 Rudolf Ahlswede/Gunter Dueck: Good codes can be produced by a few permutations. IEEE Trans. Inf. Theory 28/3 (1982), 430-443. 2609 Robert Ash: Information theory. Dover 1965. Chapters 4-5 contain a very good and concrete introduction to error-correcting codes. E. Assmus: On the Reed-Muller codes. Discrete Math. 106/107 (1992), 25-33. 6496 Edward Assmus/Jennifer Key: Designs and their codes. Cambridge UP 1992, 360p. (pb.) Pds. 18. "Dieses Buch beeindruckt durch hervorragende Einfuehrungen in drei Gebiete: Design theory, Codierungstheorie, sowie die Verbindung zwischen diesen Gebieten." (G. Pilz) 23986 Edward Assmus/Jennifer Key: Polynomial codes and finite geometries. In V. Pless/W. Huffman/R. Brualdi (ed.): Handbook of coding theory, vol. 2., Elsevier 1998, 1269-1343. 7217 E. Assmus/H. Mattson: Coding and combinatorics. SIAM Review 16 (1974), 349-388. 16127 Daniel Augot: Madhu Sudan's contributions to the theory of error-correcting codes. EMS Newsletter March 2004, 6-10. 24190 Welleda Maria Baldoni/Carlo Ciliberto/Giulia Maria Piacentini Cattaneo: Aritmetica, crittografia, codici. Springer 2006, 520p. Eur 26. 5690 Alexander Barg: At the dawn of the theory of codes. Math. Intell. 15/2 (1993), 20-26. Henry Beker/Fred Piper: Cipher systems. Northwood 1982. 23430 Sandro Bellini: Teoria dell'informazione e codici. Internet, 150p. Thomas Beth/Volker Strehl: Materialien zur Codierungstheorie. Universitaet Erlangen, Arbeitsberichte IMMD 11/14 (1978). 23983 Anton Betten/Michael Braun/Harald Fripertinger/Adalbert Kerber/ Axel Kohnert/Alfred Wassermann: Error-correcting linear codes. Springer 2006, 820p. Eur 86 (Ebook). 17018 Anton Betten/Harald Fripertinger/Adalbert Kerber/Alfred Wassermann/ Karl-Heinz Zimmermann: Codierungstheorie. Springer 1998, 340p. Eur 39. Truly beautiful. 8572 Albrecht Beutelspacher: Vertrauen ist gut, Kontrolle ist besser! Vom Nutzen elementarer Mathematik zum Erkennen von Fehlern. In 8567 Beutelspacher/, 27-37. 21622 Albrecht Beutelspacher/Ute Rosenbaum: Projektive Geometrie. Vieweg 2004, 260p. Eur 30. 8727 Jürgen Bierbrauer: Universal hashing and geometric codes. Internet 1994, 18p. 8677 Jürgen Bierbrauer: A^2-codes from universal hash codes. Internet, ca. 1995, 10p. 8718 Jürgen Bierbrauer: The structure of some good codes. Internet 1996, 45p. 24052 Juergen Bierbrauer: Introduction to coding theory. Chapman & Hall 2005, 390p. Eur 72. 20919 Norman Biggs: Codes - an introduction to information communication and cryptography. Springer 2008, 270p. Eur 25. 16983 Richard Blahut: Transform techniques for error control codes. IBM J. Res. Dev. 23/3 (1979), 299-315. Richard Blahut: Theory and practive of error control codes. Addison-Wesley 1983. 17028 Richard Blahut: Algebraic codes for data transmission. Cambridge UP 2003, 480p. $70. I. Blake/R. Mullin: The mathematical theory of coding. Academic Press 1975. 20868 Martin Bossert: Kanalcodierung. Teubner 1998, 530p. Eur 64. W. Bridges/M. Hall/J. Hayden: Codes and designs. J. Comb. Theory A 31 (1981), 155-174. 26484 Dietrich Burde: Algebra im Überblick. Internet 2011, 82p. Elementary algebra and coding theory. 5540 A. Calderbank: The mathematics of modems. Math. Intell. 13/3 (1991), 56-65. 7600 A. Calderbank/N. Sloane: The ternary Golay code, the integers mod 9 and the Coxeter-Todd lattice. Internet 1995, 2p. 16911 Peter Cameron: Finite geometry and coding theory. Internet 1999, 60p. 23196 Peter Cameron: Polynomial aspects of codes, matroids and permutation groups. Internet, 82p. 6695 Peter Cameron/J. van Lint: Designs, graphs, codes and their links. Cambridge UP 1991, 240p. 0-521-42385-6 (pb). Pds. 13. A very attractive textbook and a valuable reference book. 8439 Barry Cipra: The ubiquitous Reed-Solomon codes. SIAM News 26/1 (1993), ... 23395 Joan-Josep Climent/Victoria Herranz/Carmen Perea (ed.): Abstracts from the 4th Workshop on Coding and Systems. Alicante and Elche, March 2008, 41p. 7270 John Horton Conway/Neil James Sloane: Sphere packings, lattices and groups. Springer 1993, 679 p. 3-540-97912-3. DM 120. [4387 First edition 1988]. R. Curtis: On graphs and codes. Geom. Dedicata 41 (1992), 127-134. 24519 Carsten Damm: Codierungstheorie. Vorl. Univ. Göttingen 2010, 190p. 16884 Stefan Dodunekov/Juriaan Simonis: Codes and projective multisets. El. J. Comb. 5 (1998), ... Arne Dür: Avoiding decoder malfunctions in the Peterson-Gorenstein-Zierler decoder. IEEE Trans. Information Theory IT-39 (1993), 640-643. Arne Dür: On the covering radius of Reed-Solomon codes. Discrete Math. 126 (1994), 99-105. Arne Dür/J. Grabmeier: Codes and interpolation. SIAM J. Comp. 22 (1993), 695-704. 2114 Jürgen Duske/Helmut Jürgensen: Codierungstheorie. Bibl. Inst. 1977. 16881 I. Duursma/C. Renteria/H. Tapia-Recillas: Reed-Muller codes on complete intersections. Internet ca. 1996, 13p. Wolfgang Ebeling: Lattices and codes. Vieweg 1994, 180p. DM 48. 16950 Tom Edgar: Finite projective geometries and linear codes. MS thesis Fort Collins 2004, 48p. 23429 Carla Fiori: Lezioni di algebra e teoria dei codici. Internet 2012, 130p. 16903 Bernd Friedrichs: Kanalcodierung. Springer 1996, 510p. Eur 68. 23440 Giovanni Garbo/Stefano Mangione: Appunti di teoria dell'informazione e codici. Internet 2011, 160p. Paul Garrett: The mathematics of coding theory. Prentice Hall 2003, 410p. $70. [25886 Paul Garrett: The mathematics of coding. Internet (free copy), 400p.] 7480 Joachim von zur Gathen: Skript zur Vorlesung Kodierungstheorie. Universitaet Paderborn, Wintersemester 1994/95. Internet 1995, 22p. 23441 Massimo Giulietti: Appunti del corso di Geometria combinatoria 2 - codici algebrico-geometrici, codici MDS e archi, crittografia su curve ellittiche. Internet 2006, 160p. 23428 Luca Giuzzi: Codici correttori. Springer 2006, 400p. Eur 25. V. Goppa: Codes associated with divisors. Problems Information Transmission 12/1 (1977), 22-27. 4550 Timm Grams: Codierungsverfahren. Bibl. Inst. 1986. 20850 Jay Grossman: Coding theory - introduction to linear codes and applications. Rivier Academic J. 4/2 (2008), 17p. 16984 S. Gudvangen: Practical applications of number theoretic transforms. Internet 1999, 6p. V. Guruswami/Madhu Sudan: Improved decoding of Reed-Solomon and algebraic- geometric codes. IEEE Trans. Inf. Th. 45 (1999), 1757-1767. 7224 Noboku Hamada/Tor Helleseth: Construction of some optimal ternary linear codes and the uniqueness of [294, 6, 195; 3]-codes meeting the Griesmer bound. Finite Fields Appl. 1 (1995), 458-468. Richard Hamming: Coding and information theory. Prentice-Hall 1980. 0-13-139139-9. 4479 Werner Heise/Pasquale Quattrocchi: Informations- und Codierungstheorie. Springer 1989. 17049 Raymond Hill: A first course in coding theory. Oxford UP 2004, 250p. $49. Toyokazu Hiramatsu/Günter Köhler: Coding theory and number theory. Kluwer 2003, 150p. Eur 77. Melas codes (cyclic codes dual to certain trace codes) and Goppa codes with their relations to elliptic curves and algebraic number theory, and self-dual codes. 2107 J. Hirschfeld: Linear codes and algebraic curves. Manuscript 1988. 2106 Friedrich Hirzebruch/Nils-Peter Skoruppa: Codierungstheorie und ihre Beziehung zu Geometrie und Zahlentheorie. MPI 88/6. 25702 Dirk Hoffmann: Einführung in die Informations- und Codierungstheorie. Springer 2014, 640p. Eur 38. D. Hoffman a.o.: Coding theory. Dekker 1991, 280p. $ 55. A useful textbook. T. Hoholdt/R. Pellikaan: On the decoding of algebraic geometry codes. IEEE Trans. Inf. Theory 41/6 (1995), ... 16887 Thomas Honold/Werner Heise: Coding theory and applications to communication technologies. Internet 2002, 47p. 16920 W. Huffman/Vera Pless: Fundamentals of error-correcting codes. Cambridge UP 2003, 640p. $85. 17014 John Humphreys: A course in group theory. Oxford UP 2004, 280p. $47. With 10 pages on error-correcting codes. 17029 John Humphreys/M. Prest: Numbers, groups and codes. Cambridge UP 2004, 340p. $43. Very elementary. 7048 Dieter Jungnickel: Codierungstheorie. Bibl. Inst. 1994 (November), 250p. 3-411-17001-8. DM 48. Tiko Kameda/Klaus Weihrauch: Einfuehrung in die Codierungstheorie. Band 1. Bibl. Inst. 1973, 220p. 3-411-01422-9. DM 32. 7225 Norifumi Kamiya: On multisequence shift register synthesis and generalized-minimum-distance decoding of Reed-Solomon codes. Finite Fields Appl. 1 (1995), 440-457. T. Kasami/S. Lin/W. Peterson: Polynomial codes. IEEE Trans. Inf. Theory 14 (1968), 807-814. 16888 Ivan Landjev: Linear codes over finite fields and finite projective geometries. Discrete Math. 213 (2000), 211-244. 16885 Ivan Landjev: The geometric approach to linear codes. Internet ca. 2001, 10p. 2022 Rudolf Lidl/Johann Wiesenbauer: Ringtheorie und Anwendungen. Akademische Verlagsgesellschaft 1980. ISBN 3-400-00371-9. 8408 Douglas Lind/Brian Marcus: An introduction to symbolic dynamics and coding. Cambridge UP 1995, 510p. 0-521-55900-6 (pb.). $28. San Ling/Chao-ping Xing: Coding theory - a first course. Cambridge UP 2004, 230p. $33. 2100 Jacobus van Lint: Introduction to coding theory. Springer 1982. 457 Jacobus van Lint/Gerard van der Geer: Introduction to coding theory and algebraic geometry. Birkhaeuser 1988. Jacobus van Lint: A survey of perfect codes. Rocky Mountain J. Math. 5 (1975), 199-224. Wolfgang Lütkebohmert: Codierungstheorie. Algebraisch-geometrische Grundlagen und Algorithmen. Vieweg 2003, 280p. Eur 30. K. Mackenzie: Codes of designs. PhD Thesis, Univ. of Birmingham 1989. 17032 Florence MacWilliams/Neil Sloane: The theory of error-correcting codes. North-Holland 2003, 760p. $137. Well worth the price. H. Mann: Error correcting codes. Wiley 1968. 18044 Giovanni Manzini/Marcella Rastero: A simple and fast DNA compressor. Internet 2004, 15p. 16980 James Massey: The discrete Fourier transform in coding and cryptography. Internet ca. 1997, 2p. 19138 Roland Matthes: Algebra, Kryptologie und Kodierungstheorie. Hanser 2003, 260p. Eur 25. 23446 Francesco Mazzocca: Lucidi del corso di codici lineari. Internet 2009, 327p. 24098 Richard Mollin: Codes. Chapman & Hall 2005, 680p. Eur 71. 16882 Carlos Moreno: Basic introduction into coding theory. Internet 2004, 43p. 8286 Carlos Moreno/Oscar Moreno: Exponential sums and Goppa codes I. Proc. AMS 111 (1991), 523-531. 21526 Gary Mullen/Carl Mummert: Finite fields and applications. AMS 2007, 180p. Eur 33. 27081 Gabriele Nebe/M. Kirschmer: Gitter und Codes. Internet 2009, 90p. 23169 Gabriele Nebe/Eric Rains/Neil Sloane: Self-dual codes and invariant theory. Springer 2009, 460p. Eur 49. Harald Niederreiter: Weights of cyclic codes. Information and Control 34 (1977), 130-140. 23419 Harald Niederreiter: A combinatorial problem for vector spaces over finite fields. Discrete Math. 96 (1991), 221-228. 23417 Harald Niederreiter: The asymptotic theory of error correcting codes. Talk, 35p. 9831 Harald Niederreiter/Chaoping Xing: Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places. Acta Arithm. 79 (1997), 59-76. 23496 Harald Niederreiter/Chaoping Xing: A propagation rule for linear codes. AAECC 10 (2000), 425-432. 23447 Gianfranco Niesi: Teoria dei codici. Internet 2008, 81p. 7198 Ulrich Oberst/Arne Duer: Die Konstruktion aller maximalen Codes mit Hilfe von MDS-Codes. Publ. IRMA Strasbourg 1984, 229/S-08, Aces 8. Sem. Loth., 71-74. 8246 Hans Opolka: Theta functions and communication theory. Internet 1996, 67p. 18249 Bodo Pareigis: Kleine Einführung in die Codierungstheorie. Internet 1998, 24p. 5976 W. Peterson: Error-correcting codes. MIT Press 1961. W. Peterson: Error-correcting codes. Scientific American 206 (1962), 96-108. Vera Pless: The theory of error-correcting codes. Wiley 1989. Vera Pless/W. Huffman: Fundamentals of error-correcting codes. Cambridge UP 2003, 660p. $85. Vera Pless/W. Huffman/Richard Brualdi (ed.): Handbook of coding theory. 2 volumes. North-Holland 1998. Very expensive. 9966 Vera Pless/Jeffrey Leon/Joe Fields: All Z4 codes of type II and length 16 are known. Internet ca. 1996, 18p. 23448 Cesar Polcino Milies: Finite dihedral groups and coding theory. Internet, 54p. 7014 Alain Poli/L. Huguet: Error correcting codes. Prentice-Hall 1992, 510p. 0-13-284894-5. $80. 6956 A. Pott: Besprechung des Buches "Design and their codes" von Assmus/Key. Jber. DMV 97 (1995), B 28-29. Oliver Pretzel: Error-correcting codes and finite fields. Oxford UP 1992. Oliver Pretzel: Codes and algebraic curves. Oxford UP 1998, 190p. 0-19-850039-4. Pds.35. 16982 B. Rajan/Moon-ho Lee: Quasi-cyclic dyadic codes in the Walsh-Hadamard transform domain. Internet 2002, 7p. 8003 Dijen Ray-Chaudhuri (ed.): Coding theory and design theory. Part I: Coding theory. Springer 1990, 250p. Irving Reed/Gustave Solomon: Polynomial codes over certain finite fields. J. SIAM 8 (1960), 300-304. Very important paper, which "introduced ideas that form the core of current error-correcting techniques for everything from computer hard disk drives to CD players." (Barry Cipra) 16889 C. Renteria/Horacio Tapia-Recillas: Reed-Muller codes - an ideal theory approach. Comm. Algebra 25/2 (1997), 401-413. 7252 Hermann Rohling: Einfuehrung in die Informations- und Codierungstheorie. Teubner 1995, 250p. 3-519-06174-0. DM 33. 20661 Steven Roman: Introduction to coding and information theory. Springer 1997, 320p. Eur 58. "Dieses Buch ist eine gelungene Mischung aus Informationstheorie ... und Codierungstheorie ..." (G. Pilz) K. Rose: Generalized Reed-Muller codes and finite geometries. PhD Thesis, Lehigh University 1993. Rene' Schoof/M. van der Vlugt: Hecke operators and the weight distributions of certain codes. J. Comb. Theory A 57 (1991), 163-186. 5832 Ralph-Hardo Schulz: Codierungstheorie. Vieweg 1991. Claude Shannon: A mathematical theory of communication. Bell System Tech. J. 27 (1948), 379-423, 623-656. 16890 N. Sloane: Error-correcting codes and invariant theory. Am. Math. Monthly 84 (1977), 82-107. 7594 N. Sloane: Algebraic coding theory. Recent developments related to Z_4. Internet 1994, 14p. 22076 Henning Stichtenoth: Algebraic function fields and codes. Springer 2009, 350p. Eur 42. H. Stichtenoth/M. Tsfasman (ed.): Coding theory and algebraic geometry. SLN Math. 1518 (1992). 27237 Fabio Stumbo: Teoria dei codici. Internet 2016, 140p. Madhu Sudan: Decoding of Reed-Solomon codes beyond the error-correcting bound. J. Complexity 13 (1997), ... Madhu Sudan: Coding theory - tutorial and survey. Proc. 42nd Annual Symp. Found. Computer Sci. 2001, 36-53. 18060 Roberto Togneri: Fundamentals of information theory and coding design. Chapman & Hall 2002, 380p. Eur 62. 23444 Carlo Traverso/Marco Francischello/Oscar Papini: Teoria dei codici e crittografia. Internet 2012, 94p. Michael Tsfasman/Serge Vladut: Algebraic-geometric codes. Kluwer 1991, 660p. 0-7923-0727-5. 25928 Michael Tsfasman/Serge Vladut/Dmitry Nogin: Algebraic geometry codes - basic notions. Internet ca. 2005, 410p. S. Vanstone/P.van Oorschot: An introduction to error correcting codes with applications. Kluwer. L. Vermani: Elements of algebraic coding theory. Chapman & Hall 1996, 250p. 0-412-57380-6. Pds. 28. J. Walker: Codes and curves. AMS 2000, 70p. $15. Dominic Welsh: Codes and cryptography. Oxford UP 1988, 270p. $ 33. 15986 Wolfgang Willems: Codierungstheorie. De Gruyter 1999, 250p. Eur 30. 19258 Wolfgang Willems: Mathematische Aspekte der Codierungstheorie. Jber. DMV 109/2 (2007), 71-97. 20862 Wolfgang Willems: Codierungstheorie und Kryptographie. Birkhäuser 2008, 150p. Eur 19. 7328 J. Wolfowitz: Coding theorems of information theory. Springer 1961.