The Automorphism Group of a Binary Self-Dual Doubly Even$[72,36,16]$Code is Solvable

Stefka Bouyuklieva, E. A. O’Brien, Wolfgang M. Willems

Type: Article

Publication Date: 2006-08-29

Citations: 11

DOI: https://doi.org/10.1109/tit.2006.880048

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Locations

IEEE Transactions on Information Theory - View

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Works That Cite This (10)

Action	Title	Year	Authors
+	The automorphism group of the doubly-even [72,36,16] code can only be of order 1, 3 or 5	2013	Steven T. Dougherty Suat Karadeniz Bahattin Yıldız
+	The Automorphism Group of a Self Dual Binary [72,36,16] Code Does Not Contain Z4	2013	Vassil Yorgov Daniel Yorgov
+ PDF Chat	Group rings, G-codes and constructions of self-dual and formally self-dual codes	2017	Steven T. Dougherty Joe Gildea R.W. Taylor Alexander Tylyshchak
+ PDF Chat	Some MDS Codes over Gf(64) Connected with the Binary Doubly-Even [72,36,16] Code	2007	Stefka Bouyuklieva
+	On the Automorphism Group of a Binary Self-Dual Doubly Even $[{72, 36, 16}]$ Code	2011	E. A. O’Brien Wolfgang M. Willems
+	The Automorphism Group of a Self-Dual <inline-formula> <tex-math notation="TeX">$[{72,36,16}]$ </tex-math></inline-formula> Code Does Not Contain <inline-formula> <tex-math notation="TeX">$Z_{4}$ </tex-math></inline-formula>	2014	Vassil Yorgov Daniel Yorgov
+	A Putative Doubly Even [72,36,16] Code Does Not Have an Automorphism of Order 9	2011	Nikolay Yankov
+ PDF Chat	On Extremal Self-Dual Codes of Length 96	2011	Javier de la Cruz Wolfgang M. Willems
+	Binary doubly-even self-dual codes of length 72 with large automorphism groups ∗	2013	Dean Crnković Sanja Rukavina Loredana Simčić
+	On authomorphisms of extremal type II codes	2013	Ismael Gutiérrez García Darwin Villar Salinas

Works Cited by This (12)

Action	Title	Year	Authors
+	Characters and Blocks of Finite Groups	1998	Gabriel Navarro
+	An Introduction to the Theory of Groups	1965	Joseph Rotman
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust
+	On primes dividing the group order of a doubly-even (72, 36, 16) code and the group order of a quaternary (24, 12, 10) code	1982	John H. Conway Vera Pless
+	The Projective Indecomposable Modules of SL(2, <i>p</i> <sup>n</sup> )	1983	Henning Haahr Andersen Jens Otto Lunde Jørgensen Peter Landrock
+	Codes with prescribed permutation group	1980	Wolfgang Knapp Peter Schmid
+	A note on self-dual group codes	2002	Wolfgang M. Willems
+	Binary Self-Dual Codes With Automorphisms of Composite Order	2004	Radinka Dontcheva A.J. vanZanten S.M. Dodunekov
+	On the automorphism Group of a putative code	2006	Vassil Yorgov
+	Finite Groups II	2011	Bertram Huppert Norman Blackburn