%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Copyright 2008 Jennifer Key % % This file is distributed under the % Creative Commons Attribution license 3.0 % http://creativecommons.org/licenses/by/3.0/us/ % % Created by Edward Assmus, Jr and J. D. Key in 1992. % % Modified by David Joyner 2008 by adding some % references and fixing entries so that this file load % into Pybliographic without errors. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\njmod}[2]{\mbox{ $\not \equiv #1$}\mbox{ \rm (mod $#2$)}} %for 5 NOT equiv 0 mod p use \njmod %%%%%%% also includes some papers on algebraic curves @string{jcta="J. Combin. Theory, Ser.~A"} %%%%%%% A @article{assmat:aa, author="Assmus, Jr., E. F. and H. F. Mattson", title="Error-correcting codes: an axiomatic approach", journal="Inform. and Control", year=1963, volume="6", pages="315-330"} @article{assCAT, author="Assmus, Jr., E. F.", title={The category of linear codes}, journal="IEEE Trans. Inform. Theory", year=1998, volume=44, pages="612-629"} @article{assrose, author="Assmus, Jr., E. F.", title="On the {R}eed-{M}uller codes", journal="Discrete Math.", volume="106/107", year=1992, pages="25-33"} @manual{assmat:rep, author="Assmus, Jr., E. F. and Mattson, Jr., H. F. and R. J. Turyn", title="Research to Develop the Algebraic Theory of Codes", organization="Applied Research Laboratory, Sylvania Electronic Systems", month="June", year=1967, note="No. AFCRL-67-0365. Contract No. AF19(628)-5998"} @article{assmat:pc, author="Assmus, Jr., E. F. and Mattson, Jr., H. F.", title="Perfect codes and the {M}athieu groups", journal="Arch. Math.", year=1966, volume="17", pages="122-135"} @book{ak:book, author="Assmus, Jr., E. F. and J. D. Key", title="Designs and their Codes", year=1992, publisher="Cambridge: Cambridge University Press", note="Cambridge Tracts in Mathematics, Vol.~103 (Second printing with corrections, 1993)"} @article{ak:update, author={Assmus, Jr., E. F. and J. D. Key}, title={Designs and codes: an update}, journal={Des. Codes Cryptogr.}, volume=9, year=1996, pages={7-27} } %%%%%% B @article{berl, author="E. R. Berlekamp", title="Factoring polynomials over finite fields", journal="Bell System Tech. J.", year=1967, volume=46, pages="1853-1859"} @article{berl1, author="Elwyn R. Berlekamp and Lloyd R. Welch", title="Weight distributions of the cosets of the $(32,6)$ {R}eed-{M}uller code", journal="IEEE Trans. Inform. Theory", volume=18, year=1972, pages="203-207"} @article{berman, author="S. D. Berman", title="On the theory of group codes", journal="Kibernetika", volume="3(1)", year=1967, pages="31-39"} @book{bigwhi, author="N. L. Biggs and A. T. White", title="Permutation Groups and Combinatorial Structures", publisher="Cambridge: Cambridge University Press", year=1979, note="London Mathematical Society Lecture Notes Series 33"} @article{blahut, author="R. E. Blahut", title="Transform techniques for error control codes", journal="IBM J. Res. Develop.", year=1979, volume=23, pages="299-315"} @book{bla, author="Richard E. Blahut", title="Theory and Practice of Error Control Codes", year=1983, publisher="Addison-Wesley"} @unpublished{blagaolam, author="Ian F. Blake and Shuhong Gao and Robert J. Lambert", title={Construction and distribution problems for irreducible trinomials over finite fields}, note={Submitted}} @book{blagao, author={Alfred~J. Menezes (Ed.) and Ian~F.~Blake and XuHong Gao and Ronald~C. Mullin and Scott~A. Vanstone and Tomik Yaghoobian}, title={Applications of Finite Fields}, year=1993, publisher={Boston/Dordrecht/Lancaster: Kluwer Academic Publishers}} @book{blmu, author="Ian F. Blake and Ronald C. Mullin", title="The Mathematical Theory of Coding", publisher="New York: Academic Press", year=1975} @article{blbrwi, author="Aart Blokhuis and Andries Brouwer and Henny Wilbrink", title="Hermitian unitals are codewords", journal="Discrete Math.", year=1991, volume=97, pages="63-68"} @unpublished{Bo99, author = "Niels Borne", title="Une formule de Riemann-Roch equivariante pour des courbes", note="to appear Can. J. Math., based on 2000 thesis, Univ. Bordeaux"} @article{Bo02, author = "Niels Borne", title="Structure de groupe de Grothendieck \'equivariant d'une courbe et modules galoisiens", journal="Bull. of the SMF", volume=130, year=2002, pages="101-121"} @article{Bo01, author = "Niels Borne", title="Modules galoisiens sur les courbes: une introduction", journal="S\'em. et Congr\`es", publisher="SMF", volume=5, year=2001, pages="147-159"} @article{bosray, author="R. C. Bose and D. K. Ray-Chaudhuri", title="On a class of error correcting binary group codes", journal="Inform. and Control", volume=3, year=1960, pages="68-79"} @article{brauer, author="Richard Brauer", title="On the connection between the ordinary and the modular characters of groups of finite order", journal="Ann. Math. ", volume=42, year=1941, pages="926-935"} @unpublished{budedo, author="F. Buekenhout and A. Delandtsheer and J. Doyen and P. B. Kleidman and M. W. Liebeck and J. Saxl", title="Linear spaces with flag-transitive automorphism groups", note="Preprint"} %%%%%% C @book{cald, title={Different Aspects of Coding Theory}, editor={Robert Calderbank}, publisher={American Mathematical Society}, year=1995, note={Proceedings of Symposia in Applied Mathematics, Volume 50}} @article{caldslo, author="A. R. Calderbank and N. J. A. Sloane", title="Modular and $p$-adic cyclic codes", journal="Des. Codes Cryptogr.", year=1995, volume=6, pages="21-35"} @article{calslo, author="A. R. Calderbank and P. Delsarte and N. J. A. Sloane", title="A strengthening of the {A}ssmus-{M}attson theorem", journal="IEEE Trans. Inform. Theory", volume=37, year=1991, pages="1261-1268"} @book{camvl, author="P. J. Cameron and J. H. van Lint", title="Graphs, Codes and Designs", publisher="Cambridge: Cambridge University Press", year=1980, note="London Mathematical Society Lecture Notes Series 43"} @book{camvl2, author="P. J. Cameron and J. H. van Lint", title="Designs, Graphs, Codes and their Links", publisher="Cambridge: Cambridge University Press", year=1991, note="London Mathematical Society Student Texts~22"} @incollection{cameron_gr, author="Peter J. Cameron", title="Groups", booktitle={Graph Connections}, editor={Lowell W. Beineke and Robin J. Wilson}, year=1997, pages={128--140}, publisher={Oxford: Clarendon Press}, note={Chapter~9} } @manual{cannonm, author="John Cannon and Catherine Playoust", title="An Introduction to Magma", address="School of Mathematics and Statistics, University of Sydney", year=1994} @manual{magmaHB, author=" Wieb Bosma and John Cannon", title="Handbook of Magma Functions", address="Department of Mathematics, University of Sydney", month="November", year=1994, note={http://www.maths.usyd.edu.au:8000/u/magma/}} @book{carter, author={R.~W.~ Carter}, title={Simple Groups of Lie Type}, year={1972}, publisher={London and New York, Wiley-Interscience}} @article{chabanne, author = {Herv\'{e} Chabanne}, title= {Permutation decoding of abelian codes}, journal={IEEE Trans. Inform. Theory}, year= 1992, volume=38, pages ="1826-1829"} @manual{charp1, author= "Pascale Charpin", title="Codes cycliques \'{e}tendus invariants sous le groupe affine", note="Th\`{e}se de Doctorat d'\'{E}tat, Universit\'{e} Paris VII, 1987"} @article{charp0, author = "Pascale Charpin", title= "Codes cycliques \'{e}tendus affines-invariants et antichaines d'un esemble partiellement ordonne", journal= "Discrete Math.", year= 1990, volume=80, pages ="229-247"} @techreport{charp2, author="Pascale Charpin", title="A new description of some polynomial codes: the primitive generalized {R}eed-{M}uller code", institution="Universit\'{e} Paris VII", year=1985} @article{charp3, author="Pascale Charpin", title="Une generalisation de la construction de {B}erman des codes de {R}eed et {M}uller $p$-aires", journal="Communications in Algebra", volume="16", year=1988, pages="2231-2246"} @article{charp4, author="Pascale Charpin and Fran{\c{c}}oise Levy{-}dit{-}Vehel", title="On self-dual affine-invariant codes", journal=jcta, volume=67,year=1994,pages={223-244}} @techreport{charp5, author="P.~Charpin", title="Repr\'{e}sentation des codes cycliques primitifs dans une alg\`{e}bre modulaire", year=1991, pages="38-61", note="Rapport n$^o$ 82, D\'{e}partement de math\'{e}matiques et d'informatique, Facult\'{e} des Sciences, Universit\'{e} de Sherbrooke, Edit\'{e} par I.~Assem et B.~Courteau"} @article{charp6, author="Thierry Berger and Pascale Charpin", title="The automorphism group of {G}eneralized {R}eed-{M}uller codes", journal="Discrete Math.", year=1993, volume=117, pages="1-17"} @incollection{charphb, author="Pascale Charpin", title="Open problems on cyclic codes", editor={V.~S.~Pless and W.~C.~Huffman}, booktitle={Handbook of {C}oding {T}heory}, year=1998, note={Volume~1, Part~1, Chapter~11}, pages={963--1063}, publisher={Amsterdam: Elsevier}} @book{chll, author={G{\'{e}}rard Cohen and Iiro Honkala and Simon Litsyn and Antoine Lobstein}, title={Covering Codes}, year=1997, publisher={Elsevier}, note={North-Holland Mathematical Library, Volume 54}} @book{CRC, title={The CRC Handbook of Combinatorial Designs}, editor={Charles J. Colbourn and Jeffrey H. Dinitz}, publisher={CRC Press, Boca Raton}, year=1996} @article{cohen, author={Stephen D. Cohen}, title={Primitive elements and polynomials with arbitrary trace}, journal={Discrete Math.}, volume=83, year = 1990,pages={1-7}} @book{atlas, author={J.~H.~Conway and R.~T.~Curtis and S.~P.~Norton and R.~A.~Parker and R.~A.~Wilson}, title={An Atlas of Finite Groups}, publisher={Oxford: Oxford University Press}, year={1985}} @incollection{conway, author="J. H. Conway", title="Three lectures on exceptional groups", booktitle="Finite Simple Groups", year=1971, pages="215-247", editor="M. B. Powell and G. Higman", publisher="New York, London: Academic Press", note="Proceedings of an Instructional Conference Organized by the London Mathematical Society --- a NATO Advanced Study Institute"} @article{copl, author="J. H. Conway and Vera Pless", title="On the enumeration of self-dual codes", journal=jcta, volume=28, year=1980, pages="26-53"} @article{coplsl, author="J. H. Conway and V. Pless and N. J. A. Sloane", title="The binary self-dual codes of length up to 32: a revised enumeration", journal=jcta, volume=60, year=1992, pages="183-195"} @book{conslo, title={Sphere Packings, Lattices and Groups}, author={J. H. Conway and N. J. A. Sloane}, publisher={Springer-Verlag}, year=1992, note={Grundlehren der mathematischen Wissenschaften 290, Second Edition}} @book{colish, title={Ideals, Varieties, and Algorithms}, author={David Cox and John Little and Donal O'Shea}, publisher={Springer-Verlag}, year=1996,note={Undergraduate Texts in Mathematics}} @article{curt2, author= "R. T. Curtis", title="On graphs and codes", journal="Geom. Dedicata", volume=41, year=1992, pages="127-134"} @article{curt1, author="R. T. Curtis", title="The regular dodecahedron and the binary {G}olay code", journal="Ars Combin.", year=1990, volume="29B", pages="55-64"} %%%%% D @article{del, author="Philippe Delsarte", title="A geometric approach to a class of cyclic codes", journal="J. Combin. Theory", volume=6, year=1969, pages="340-358"} @article{del1, author="Philippe Delsarte", title="On cyclic codes that are invariant under the general linear group", journal="IEEE Trans. Inform. Theory", volume="16", year=1970, pages="760-769"} @techreport{del3, author="P. Delsarte", title="An algebraic approach to the association schemes of coding theory", institution="Philips Research Laboratorie", year=1973, pages="1-97", note="Philips Research Reports, Supplement No.~10"} % Delsarte's thesis (under the direction of Goethals) @article{del4, author="P. Delsarte", title="${BCH}$ bounds for a class of cyclic codes", journal="SIAM J. Appl. Math.", volume=19, year=1970, pages="420-429"} @article{dgmc, author="P. Delsarte and J. M. Goethals and F. J. MacWilliams", title="On generalized {R}eed-{M}uller codes and their relatives", journal="Inform. and Control", volume=16, year=1970, pages="403-442"} @book{dick, author="Leonard Eugene Dickson", title="Linear Groups with an Exposition of the Galois Field Theory", publisher="New York: Dover Publications", year=1958, note="With an introduction by Wilhelm Magnus"} @book{dieu1, author="Jean Dieudonn\'{e}", title="Sur les Groupes Classiques", edition="Third", publisher="Paris: Hermann", year=1973, series="Actualit\'{e}s scientifiques et industrielles 1040"} @book{dieu2, author="Jean Dieudonn\'{e}", title="La G\'{e}om\'{e}trie des Groupes Classiques", publisher="Berlin, G{\"{o}}ttingen, Heidelberg: Springer-Verlag", edition="Second", year=1963, series="Ergebnisse der Mathematik und ihrer Grenzbegiete, Neue Folge, Band 5"} @phdthesis{dingphd, author="Peng Ding", title="Minimum weight generators for generalized {R}eed-{M}uller codes", school="Clemson University", year=2000} @article{dodunekov, author={Stefan Dodunekov}, title={A comment on the weight structure of generator matrices of linear codes}, journal={Problemy Peredachi Informatsii (in Russian)}, volume= 26, number=2,pages={101 -104},year=1990, note={English translation in: Problems of Information Transmission, v.26,1990,pp.173-176}} %%%% %E @article{etzion, author={Tuvi Etzion and Alexander Vardy}, title={Perfect binary codes: constructions, properties and enumeration}, journal={IEEE Trans. Inform. Theory}, volume={40}, year=1994, pages={754-763}} %%%% F @article{faldum, author={Andreas Faldum}, title={Reed-{M}uller codes are optimal in the class of the radical codes}, journal={Arch. Math.}, note={To appear}} @article{framei, author={J. Francke and J. J. H. Meijers}, title={Super-visible codes}, journal="Discrete Math.", volume=110, year=1992, pages="119-134"} @incollection{friker, authors={Harald Fripertinger and Adalbert Kerber}, title={Isometry classes of indecomposable linear codes}, booktitle={Lecture Notes in Computer Science}, publisher={Springer-Verlag}, volume=948, year=1995, editor={G{\'{e}}rard Cohen and Marc Giusti}, pages={194-204}, note={International Symposium, AAECC-11, held in Paris, July 1995}} @unpublished{gap, author={{GAP}}, title={Groups, {A}lgorithms and {P}rogramming, {V}ersion~4}, note={ The GAP Group, Lehrstuhl D f\"{u}r Mathematik, RWTH Aachen, Germany and School of Mathematical and Computational Sciences, University of St. Andrews, Scotland. http://www.gap-system.org/}} @article{gardner, author="Martin Gardner", title="Mathematical games", journal="Scientific American", volume="August", year=1977, pages="120-124"} @article{geck, author="Meinolf Geck", title="Irreducible {B}rauer characters of the 3-dimensional special unitary groups in non-defining characteristic", journal="Comm. Algebra", volume="18", year=1990, pages="563-584"} @article{gode, author="Jean-Marie Goethals and Philippe Delsarte", title="On a class of majority-logic decodable cyclic codes", journal="IEEE Trans. Inform. Theory", volume="14", year=1968, pages="182-188"} @Article{golay2, Author="Marcel J. E. Golay", Title="Anent codes, priorities, patents, etc.", Journal="Proc. IEEE", volume="64", year="1976",pages="572"} @Article{golay, Author="Marcel J. E. Golay", Title="Notes on digital coding", Journal="Proc. IRE", volume="37", year="1949",pages="657"} @book{Go88, author="V. D. Goppa", title="Geometry and codes", publisher="Kluwer", year=1988} @article{gordon, author={D.~M.~Gordon}, title={Minimal permutation sets for decoding the binary {G}olay codes}, journal="IEEE Trans. Inform. Theory", volume=28, pages="541-543", year=1982} @article{gow, author={R. Gow}, title={Some characters of affine subgroups of classical groups}, journal={J. London Math. Soc.}, volume=2,year=1976,pages={231--238}} @article{greene, author={Curtis Greene}, title={Weight enumeration and the geometry of linear codes}, journal={Studies in Appl. Math.}, volume=55, year=1976, pages={119-128}} %%%%% H @Article{ham50, Author="R. W. Hamming", Title="Error detecting and error correcting codes", Journal="Bell System Tech. J.", volume="29", year="1950",pages="147-160"} @book{ham80, Author="Richard W. Hamming", title="Coding and Information Theory", publisher="Englewood Cliffs, N.J.: Prentice Hall", year=1980} @book{harwri, author="G.~H.~Hardy and E.~M.~Wright", title="An Introduction to the Theory of Numbers", publisher="Oxford: Clarendon Press", year=1979, edition="fifth"} @book{hill, author="Raymond Hill", title="A First Course in Coding Theory", publisher="Oxford: Oxford University Press", year=1986, series="Oxford Applied Mathematics and Computing Science Series"} @article{hocq, Author= "A. Hocquenghem", Title="Codes correcteurs d'erreurs", journal="Chiffres", year=1959, volume=2, pages="147-158"} @unpublished{holipe, author="Tom~H{\o}holdt and Jacobus~H.~van~Lint and Ruud~Pellikaan", title="Algebraic geometry codes", note={To appear (1998) in {H}andbook of {C}oding {T}heory, edited by V.~S.~Pless and W.~C.~Huffman.}} @article{honold, author={Thomas Honold}, title={A proof of {M}ac{W}illiams' identity}, journal={J. Geom.}, volume=57, year=1996, pages={120-122}} @article{hotivr, Author= {H. Hoeve and J. Timmermans and L. B. Vries}, Title="Error correction and concealment in the compact disc system", journal="Philips Tech. Rev.", year=1982, volume=40, pages="166-172"} @incollection{huff, author="D. A. Huffman", title="The synthesis of linear sequential coding networks", booktitle="Information Theory", editor="Colin Cherry", publisher="Butterworths Scientific Publishers", year=1956, note="Papers read at a Symposium on `Information Theory' held in London in 1955"} @incollection{huffman, author="W.~Cary Huffman", title="Codes and groups", editor={V.~S.~Pless and W.~C.~Huffman}, booktitle={Handbook of {C}oding {T}heory}, year=1998, note={Volume~2, Part~2, Chapter~17}, pages={1345--1440}, publisher={Amsterdam: Elsevier}} @book{HP03, author="W. C. Huffman and V. Pless", title="Fundamentals of error-correcting codes", publisher="Cambridge Univ. Press", year=2003} @Book{hupp, Author="B. Huppert", Title="Endliche Gruppen I", Publisher="Berlin, Heidelberg: Springer Verlag", Year=1967} %%%%%%% J @unpublished{jeur, author="R. H. Jeurissen", title="The minimum weight vectors in $RM(r,m)$", note="Conference lecture, Bielefeld, November 1990"} %%%%%%%%%%%% K @article{klp1, author="T. Kasami and S. Lin and W. W. Peterson", title="Some results on cyclic codes which are invariant under the affine group and their applications", journal="Inform. and Control", year=1967, volume=11, pages="475-496"} @article{klp2, author="Tadeo Kasami and Shu Lin and W. Wesley Peterson", title="New generalizations of the {R}eed-{M}uller codes. {P}art {I}: {P}rimitive codes", journal="IEEE Trans. Inform. Theory", volume="14", year=1968, pages="189-199"} @article{klp3, author="Tadeo Kasami and Shu Lin and W. Wesley Peterson", title="Polynomial codes", journal="IEEE Trans. Inform. Theory", volume="14", year=1968, pages="807-814"} @article{dingkey, author={Peng Ding and Jennifer D. Key}, title={Minimum-weight codewords as generators of generalized {R}eed-{M}uller codes}, journal={IEEE Trans. Inform. Theory}, volume=46, year=2000, pages={2152-2158}} @article{dingkey2, author={Peng Ding and Jennifer D. Key}, title={Subcodes of projective generalized {R}eed-{M}uller codes spanned by minimum-weight vectors}, journal={Des. Codes Cryptogr.}, volume=26, year=2002, pages={197-211}} @article{knasch, author="Wolfgang Knapp and Peter Schmid", title=" Codes with prescribed permutation group", journal="J. Algebra", year="1980", volume="67", pages="415-435"} @article{koch, author="Helmut Koch", title="On self-dual, doubly even codes of length 32", journal=jcta, year="1989", volume="51", pages="63-76"} @article{koch2, author="Helmut Koch", title="On self-dual doubly-even extremal codes", journal="Discrete Math.", year="1990", volume="83", pages="291-300"} %%%%%% L @article{lanman, author="Peter Landrock and Olaf Manz", title="Classical codes as ideals in group algebras", journal="Des. Codes Cryptogr.", volume=2, year=1992, pages="273-285"} @book{lidnie, author="Rudolf Lidl and Harald Niederreiter", title="Introduction to Finite Fields and their Applications", publisher="Cambridge: Cambridge University Press", year=1986} %bib items @book{lidnie1, author="Rudolf Lidl and Harald Niederreiter", title="Finite Fields", publisher="Reading, MA: Addison-Wesley", year=1983, note={Encyclopedia of Mathematics and its Applications, Volume~20}} @book{lincost, author="Shu Lin and Costello, Jr., Daniel J.", title="Error Control Coding: Fundamentals and Applications", publisher="Prentice-Hall", year=1983, note="Englewood Clifts, NJ"} @book{vanlint, author="{J. H. van} Lint", title="Introduction to Coding Theory", publisher="New York: Springer-Verlag", series="Graduate Texts in Mathematics 86", year=1982} @book{vanlint0, author="{J. H. van} Lint", title="Coding Theory", series="Lecture Notes in Mathematics", volume=201, publisher="Springer-Verlag", year=1970} @article{vanlint1, author="{J. H. van} Lint", title="A survey of perfect codes", journal="Rocky Mountain J. Math.", volume=5, pages="199-224", year=1975} @incollection{vanlint2, author="{Jacobus H. van} Lint", title="Algebraic geometric codes", booktitle="Coding Theory and Design Theory, Part I", year=1990, publisher="New York: Springer-Verlag", pages="137-162", editor="Dijen Ray-Chauddhuri", note="The IMA Volumes in Mathematics and its Applications, Volume 20"} @book{vanlvandg, author="{Jacobus H. van} Lint and Gerard van der Geer", title="Introduction to Coding Theory and Algebraic Geometry", publisher="Basel: Birkh{\"{a}}user Verlag", series="DMV Seminar Band 12", year=1988} %%%%%%%%%% M @book{macbir, author="Saunders MacLane and Garrett Birkoff", title="Algebra: Second Edition", publisher="New York: Collier Macmillan", year=1979} @phdthesis{mcguire, author={Gary {M.}~Mc{G}uire}, title={Absolutely irreducible curves with applications to combinatorics and coding theory}, school={California Institute of Technology}, year=1995} @article{macwillPD, author={F. J. Mac{W}illiams}, title={Permutation decoding of systematic codes}, journal={Bell System Tech. J.}, volume=43, year=1964, pages={485-505}} @book{macslo, author="F. J. MacWilliams and N. J. A. Sloane", title="The Theory of Error-Correcting Codes", publisher="Amsterdam: North-Holland", year=1983} @article{macsloth, author="F. J. MacWilliams and N. J. A. Sloane and J. G. Thompson", title="Good self dual codes exist", journal="Discrete Math.", year=1972, volume=3, pages="153-162"} @article{matthews, author={Rex Matthews}, title={Permutation properties of the polynomials $1+x+ \cdots+x^k$ over a finite field}, journal={Proc. Amer. Math. Soc.}, volume=120, year=1994, pages="47-51"} @article{matsol, author="H. F. Mattson and G. Solomon", title="A new treatment of {B}ose-{C}haudhuri codes", journal="J. Soc. Indust. Appl. Math.", volume=9, year=1961, pages="654-669"} @article{matt, author="Mattson, Jr., H. F.", title="Book Review: The Theory of Error-Correcting Codes, by {F}. {J}. {M}ac{W}illiams and {N}. {J}. {A}. {S}loane", journal="Siam Review", volume=22, year=1980, pages="513-519"} @book{McE, author="Robert J. Mc{E}liece", title="Finite Fields for Computer Scientists and Engineers", year=1987, publisher="Kluwer Academic Publishers", note="The Kluwer International Series in Engineering and Computer Science"} @book{mishra, author={Bhubaneswar Mishra}, title={Algorithmic Algebra}, publisher={Springer-Verlag, New York}, year=1993, series={Texts and Monographs in Computer Science}} @incollection{mullen, author={Gary L. Mullen}, title={Permutation polynomials over finite fields}, booktitle={Finite Fields, Coding Theory, and Advances in Communications and Computing}, year=1993, pages={131-151}, editor={Gary L. Mullen and Peter Jau-Shyong Shiue}, publisher={Marcel Dekker}, note={Lecture Notes in Pure and Applied Math., Vol.~141}} %%%%%%%%% N @article{newQR, author="Donald W. Newhart", title="On minimum weight codewords in {Q}{R} codes", journal=jcta, year=1988, volume=48, pages="104-119"} %P @article{paley, author="R. E. A. C. Paley", title="On orthogonal matrices", journal="J. Math. Phys.", volume= 12, year= 1933, pages="311-320"} @book{pass, author="Donald S. Passman", title="Permutation Groups", year=1968, publisher="New York: W.A. Benjamin Inc."} @book{pw, author="W. Wesley Peterson and E. J. Weldon, Jr.", title="Error-Correcting codes, Second Edition", year=1972, publisher="The MIT Press"} @article{WWP, author="W. Wesley Peterson", title="Error-correcting codes", journal="Scientific American", volume=206, year=1962, pages="96-108"} @book{pless, author="Vera Pless", title="The Theory of Error Correcting Codes", publisher="New York: John Wiley and Sons", year="1989", note="Second Edition", series="Wiley Interscience Series in Discrete Mathematics and Optimization"} @article{pleslo:24, author="Vera Pless and N. J. A. Sloane", title="Binary self-dual codes of length 24", journal="Bull. Amer. Math. Soc.", volume= 80, year= 1974, pages="1173-1178"} @article{pleslo, author="Vera Pless and N. J. A. Sloane", title=" On the classification and enumeration of self-dual codes", journal=jcta, volume= 18, year= 1975, pages="313-335"} @article{ptGF7, author="Vera S. Pless and Vladimir D. Tonchev", title="Self-dual codes over {G}{F}(7)", journal="IEEE Trans. Inform. Theory", volume=33, year=1987, pages="723-727"} @article{poli, author="Alain Poli", title="Codes stable sous le groupe des automorphismes isom\'{e}trique de $A=F_p[X_1,\ldots,X_n]/(X_1^p-1,\ldots,X_n^p-1)$", journal="C.~R.~Acad. Sci. Paris, Series A", year=1980, volume=290, pages="1029-1032", note="Note de Alain Poli, pr\'{e}sent\'{e}e par Andr\'{e} Lichnerowicz"} @manual{gene1, author="E. Prange", title="Cyclic error-correcting codes in two symbols", organization="Electronics Research Directorate, Air Force Cambridge Research Center", month="September", year=1957, note="No. AFCRC-TN-57-103. ASTIA Document No. AD133749"} @manual{gene2, author="E. Prange", title="An algorism for factoring $x^n-1$ over a finite field", organization="Electronics Research Directorate, Air Force Cambridge Research Center", month="October", year=1959, note="No. AFCRC-TN-59-775"} @manual{gene3, author="E. Prange", title="The use of coset equivalence in the analysis and decoding of group codes", organization="Electronics Research Directorate, Air Force Cambridge Research Center", month="June", year=1959, note="No. AFCRC-TN-59-164"} %%%%%%% Q %%%%%% R @article{reed, author="I. S. 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