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Cryptanalysis Of The Enigma
Cryptanalysis of the Enigma ciphering system enabled the western Allies of World War II, Allies in World War II to read substantial amounts of Morse code, Morse-coded radio communications of the Axis powers that had been enciphered using Enigma machines. This yielded military intelligence which, along with that from other decrypted Axis radio and teleprinter transmissions, was given the codename ''Ultra (cryptography), Ultra''. The Enigma machines were a family of portable cipher machines with rotor machine, rotor scramblers. Good operating procedures, properly enforced, would have made the plugboard Enigma machine unbreakable to the Allies at that time. The German plugboard-equipped Enigma became the principal cryptography, crypto-system of the Third Reich, German Reich and later of other Axis powers. In December 1932 it was broken by mathematician Marian Rejewski at the Polish General Staff's Cipher Bureau (Poland), Cipher Bureau, using mathematical permutation group theory ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Permutation Group
In mathematics, a permutation group is a group ''G'' whose elements are permutations of a given set ''M'' and whose group operation is the composition of permutations in ''G'' (which are thought of as bijective functions from the set ''M'' to itself). The group of ''all'' permutations of a set ''M'' is the symmetric group of ''M'', often written as Sym(''M''). The term ''permutation group'' thus means a subgroup of the symmetric group. If then Sym(''M'') is usually denoted by S''n'', and may be called the ''symmetric group on n letters''. By Cayley's theorem, every group is isomorphic to some permutation group. The way in which the elements of a permutation group permute the elements of the set is called its group action. Group actions have applications in the study of symmetries, combinatorics and many other branches of mathematics, physics and chemistry. Basic properties and terminology A ''permutation group'' is a subgroup of a symmetric group; that is, its elements ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alan Turing
Alan Mathison Turing (; 23 June 1912 – 7 June 1954) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher and theoretical biologist. He was highly influential in the development of theoretical computer science, providing a formalisation of the concepts of algorithm and computation with the Turing machine, which can be considered a model of a general-purpose computer. Turing is widely considered to be the father of theoretical computer science. Born in London, Turing was raised in southern England. He graduated from University of Cambridge, King's College, Cambridge, and in 1938, earned a doctorate degree from Princeton University. During World War II, Turing worked for the Government Code and Cypher School at Bletchley Park, Britain's codebreaking centre that produced Ultra (cryptography), Ultra intelligence. He led Hut 8, the section responsible for German naval cryptanalysis. Turing devised techniques for speeding the breaking of Germ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kriegsmarine
The (, ) was the navy of Nazi Germany from 1935 to 1945. It superseded the Imperial German Navy of the German Empire (1871–1918) and the inter-war (1919–1935) of the Weimar Republic. The was one of three official military branch, branches, along with the and the , of the , the German armed forces from 1935 to 1945. In violation of the Treaty of Versailles, the grew rapidly during German rearmament, German naval rearmament in the 1930s. The 1919 treaty had limited the size of the German navy and prohibited the building of submarines. ships were deployed to the waters around Spain during the Spanish Civil War (1936–1939) under the guise of enforcing non-intervention in the Spanish Civil War, non-intervention, but in reality supporting the Francoist Spain, Nationalists against the Second Spanish Republic, Spanish Republicans. In January 1939, Plan Z, a massive shipbuilding programme, was ordered, calling for surface naval parity with the United Kingdom, British Royal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
German Army (Wehrmacht)
The German Army (, 'army') is the land component of the armed forces of Federal Republic of Germany, Germany. The present-day German Army was founded in 1955 as part of the newly formed West German together with the German Navy, ''Marine'' (German Navy) and the German Air Force, ''Luftwaffe'' (German Air Force). , the German Army had a strength of 63,047 soldiers. History Overview A German army equipped, organized, and trained following a single doctrine and permanently unified under one command was created in 1871 during the unification of Germany under the leadership of Prussia. From 1871 to 1919, the title ''German Army (German Empire), Deutsches Heer'' (German Army) was the official name of the German land forces. Following the German defeat in World War I and the end of the German Empire, the main army was dissolved. From 1921 to 1935 the name of the German land forces was the ''Reichswehr, Reichsheer'' (Army of the Realm) and from 1935 to 1945 the name ''German Army (We ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Luftwaffe
The Luftwaffe () was the aerial warfare, aerial-warfare branch of the before and during World War II. German Empire, Germany's military air arms during World War I, the of the Imperial German Army, Imperial Army and the of the Imperial German Navy, Imperial Navy, had been disbanded in May 1920 in accordance with the terms of the 1919 Treaty of Versailles, which banned Germany from having any air force. During the interwar period, German pilots were trained secretly in violation of the treaty at Lipetsk (air base), Lipetsk Air Base in the Soviet Union. With the rise of the Nazi Party and the repudiation of the Versailles Treaty, the Luftwaffe's existence was publicly acknowledged and officially established on 26 February 1935, just over two weeks before open defiance of the Versailles Treaty through German rearmament and conscription would be announced on 16 March. The Condor Legion, a Luftwaffe detachment sent to aid Nationalist faction (Spanish Civil War), Nationalist for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bletchley Park
Bletchley Park is an English country house and Bletchley Park estate, estate in Bletchley, Milton Keynes (Buckinghamshire), that became the principal centre of Allies of World War II, Allied World War II cryptography, code-breaking during the Second World War. During World War II, the estate housed the Government Code and Cypher School (GC&CS), which regularly penetrated the secret communications of the Axis Powers most importantly the German Enigma machine, Enigma and Lorenz cipher, Lorenz ciphers. The GC&CS team of codebreakers included John Tiltman, Dilwyn Knox, Alan Turing, Harry Golombek, Gordon Welchman, Conel Hugh O'Donel Alexander, Hugh Alexander, Donald Michie, W. T. Tutte, Bill Tutte and Stuart Milner-Barry. The team at Bletchley Park devised automatic machinery to help with decryption, culminating in the development of Colossus computer, Colossus, the world's first programmable digital electronic computer. Codebreaking operations at Bletchley Park ended in 1946 and al ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
GCHQ
Government Communications Headquarters (GCHQ) is an intelligence and security organisation responsible for providing signals intelligence (SIGINT) and information assurance (IA) to the government and armed forces of the United Kingdom. Primarily based at The Doughnut in the suburbs of Cheltenham, GCHQ is the responsibility of the country's Secretary of State for Foreign and Commonwealth Affairs (Foreign Secretary), but it is not a part of the Foreign Office and its director ranks as a Permanent Secretary. GCHQ was originally established after the First World War as the Government Code and Cypher School (GC&CS) and was known under that name until 1946. During the Second World War it was located at Bletchley Park, where it was responsible for breaking the German Enigma codes. There are two main components of GCHQ, the Composite Signals Organisation (CSO), which is responsible for gathering information, and the National Cyber Security Centre (NCSC), which is responsible for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Second Armistice At Compiègne
The Armistice of 22 June 1940, sometimes referred to as the Second Armistice at Compiègne, was an agreement signed at 18:36 on 22 June 1940 near Compiègne, France by officials of Nazi Germany and the French Third Republic. It became effective at midnight on 25 June. Signatories for Germany included Wilhelm Keitel, a senior military officer of the Wehrmacht (the German armed forces), while those on the French side held lower ranks, including general Charles Huntziger. Following the decisive German victory in the Battle of France, the armistice established German military administration in occupied France during World War II, a German occupation zone in Northern and Western France that encompassed about three-fifths of Metropolitan France, France's European territory, including all English Channel and Atlantic Ocean ports. The remainder of the country was to be left unoccupied, although Vichy France, the new regime that replaced the Third Republic was mutually recognised as the l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
PC Bruno
''PC Bruno'' was a Polish– French–Spanish signals–intelligence station near Paris during World War II, from October 1939 until June 1940. Its function was decryption of cipher messages, most notably German messages enciphered on the Enigma machine. ''PC Bruno'' worked in close cooperation with Britain's decryption center at Bletchley Park. History In the early 1930s, French military intelligence acquired operation manuals and sample messages for the German Enigma cipher machine. French intelligence officer Captain Gustave Bertrand supplied this material to Poland's ''Biuro Szyfrów'' ("Cipher Bureau"), which used it as part of their successful effort to break Enigma. In July 1939 the ''Biuro Szyfrów'' gave French and British intelligence all their results. Both countries were expanding their decryption efforts in anticipation of war, and this continued after the war started in September 1939. When Poland was overrun by Germany and the Soviet Union, the key staff of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Invasion Of Poland
The invasion of Poland, also known as the September Campaign, Polish Campaign, and Polish Defensive War of 1939 (1 September – 6 October 1939), was a joint attack on the Second Polish Republic, Republic of Poland by Nazi Germany, the Slovak Republic (1939–1945), Slovak Republic, and the Soviet Union, which marked the beginning of World War II. The German invasion began on 1 September 1939, one week after the signing of the Molotov–Ribbentrop Pact between Germany and the Soviet Union, and one day after the Supreme Soviet of the Soviet Union had approved the pact. The Soviet invasion of Poland, Soviets invaded Poland on 17 September. The campaign ended on 6 October with Germany and the Soviet Union dividing and annexing the whole of Poland under the terms of the German–Soviet Frontier Treaty. The aim of the invasion was to disestablish Poland as a sovereign country, with its citizens destined for The Holocaust, extermination. German and Field Army Bernolák, Slovak forces ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Warsaw
Warsaw, officially the Capital City of Warsaw, is the capital and List of cities and towns in Poland, largest city of Poland. The metropolis stands on the Vistula, River Vistula in east-central Poland. Its population is officially estimated at 1.86 million residents within a Warsaw metropolitan area, greater metropolitan area of 3.27 million residents, which makes Warsaw the List of cities in the European Union by population within city limits, 6th most-populous city in the European Union. The city area measures and comprises List of districts and neighbourhoods of Warsaw, 18 districts, while the metropolitan area covers . Warsaw is classified as an Globalization and World Cities Research Network#Alpha 2, alpha global city, a major political, economic and cultural hub, and the country's seat of government. It is also the capital of the Masovian Voivodeship. Warsaw traces its origins to a small fishing town in Masovia. The city rose to prominence in the late 16th cent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
