General Notes

• All codes establishing the lower bounds where constructed using MAGMA.
• Special thanks to John Cannon, Computational Algebra Group, School of Mathematics and Statistics, University of Sydney, for his support in this project.
• A prototype version of MAGMA's code database over GF(2) was written by Tat Chan in 1999 and extended later that year by Damien Fisher. The current release version was developed by Greg White over the period 2001-2006.
• Thanks also to Allan Steel for his MAGMA support.
• Thanks to my colleagues at IAKS, Universität Karlsruhe (TH), for providing computing power to search for good codes.
• My apologies to all authors that have contributed codes to this table for not giving specific credits.

Linear Block Codes

• Upper bounds are taking from the tables of Andries E. Brouwer, with the expection of codes over GF(7) with n>50. For those codes, the upper bounds are rather weak.
• The actual version of the MAGMA code database, including the functions for creating and accessing the codes has been implemented by Greg White.
• The initial MAGMA database has been implemented by Damien Fisher.

• Codes have been contributed by
  • Nuh Aydin
  • Anton Betten
  • Michael Braun
  • Iliya Bouyukliev
  • Andries Brouwer
  • Tat Chan
  • Eric Zhi Chen
  • Rumen Daskalov
  • Scott Duplichan
  • Iwan Duursma
  • Yves Edel
  • Sebastian Egner
  • Damien Fisher
  • Philippe Gaborit
  • Willi Geiselmann
  • Stephan Grosse
  • Aaron Gulliver
  • Masaaki Harada
  • Fernando Hernando
  • Ray Hill
  • Plamen Hristov
  • Nathan Owen Ilten
  • Michael Kiermaier
  • Axel Kohnert
  • David Jaffe
  • Simon Litsyn
  • Pawel Lizak
  • San Ling
  • Tatsuya Maruta
  • Masami Mohri
  • Masakatu Morii
  • Harald Niederreiter
  • Ayoub Otmani
  • Fernanda Pambianco
  • Diego Ruano
  • James B. Shearer
  • Neil J. A. Sloane
  • Roberta Sabin
  • Cen Tjhai
  • Ludo Tolhuizen
  • Gerard van der Geer
  • Henk van Tilborg
  • Chaoping Xing
  • Karl-Heinz Zimmermann
  • Johannes Zwanzger

Quantum Codes

• Thanks to Eric M. Rains, Department of Mathematics, California Institute of Technology in particular for communicating his upper bounds on quantum codes.
• Some of the good quantum codes have been found by Zlatko Varbanov, Faculty of Mathematics and Informatics, Veliko Tarnovo University, Bulgaria