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Siemens and Halske T52

Siemens and Halske T52 is a computer science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Siemens and Halske T52 rather than just read about it. In short: The Siemens & Halske T52, also known as the Geheimschreiber ("secret teleprinter"), or Schlüsselfernschreibmaschine (SFM), was a World War II German cipher machine and teleprinter produced by the electrical engineering firm Siemens & Halske. The instrument and its traffic were codenamed Sturgeon by British cryptanalysts.

Siemens and Halske T52 — main illustration
Siemens and Halske T52 — illustration

Key takeaways

  • Siemens and Halske T52 belongs to computer science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Siemens and Halske T52 to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Siemens and Halske T52 from memory before moving on to harder problems.

Reference excerpt

The Siemens & Halske T52, also known as the Geheimschreiber ("secret teleprinter"), or Schlüsselfernschreibmaschine (SFM), was a World War II German cipher machine and teleprinter produced by the electrical engineering firm Siemens & Halske. The instrument and its traffic were codenamed Sturgeon by British cryptanalysts. While the Enigma machine was generally used by field units, the T52 was an online machine used by Luftwaffe and German Navy units, which could support the heavy machine, teletypewriter and attendant fixed circuits. It fulfilled a similar role to the Lorenz cipher machines in the German Army. The British cryptanalysts of Bletchley Park codenamed the German teleprinter ciphers Fish, with individual cipher-systems being given further codenames: just as the T52 was called Sturgeon, the Lorenz machine was codenamed Tunny.

Operation The teleprinters of the day emitted each character as five parallel bits on five lines, typically encoded in the Baudot code or something similar. The T52 had ten pinwheels, which were stepped in a complex nonlinear way, based in later models on their positions from various relays in the past, but in such a way that they could never stall. Each of the five plaintext bits was then XORed with the XOR sum of 3 taps from the pinwheels, and then cyclically adjacent pairs of plaintext bits were swapped or not, according to XOR sums of three (different) output bits. The numbers of pins on all the wheels were coprime, and the triplets of bits that controlled each XOR or swap were selectable through a plugboard. This produced a much more complex cipher than the Lorenz machine, and also means that the T52 is not just a pseudorandom number generator-and-XOR cipher. For example, if a cipher clerk erred and sent two different messages using exactly the same settings—a depth of two in Bletchley jargon—this could be detected statistically but was not immediately and trivially solvable as it would be with the Lorenz.

Models

Siemens produced several and mostly incompatible versions of the T52: the T52a and T52b, which differed only in their electrical noise suppression, and the T52c, T52d and T52e. While the T52a/b and T52c were cryptologically weak, the last two were more advanced devices; the movement of the wheels was intermittent, the decision on whether or not to advance them being controlled by logic circuits which took input data from the wheels themselves. In addition, a number of conceptual flaws, including very subtle ones, had been eliminated. One such flaw was the ability to reset the keystream to a fixed point, which led to key reuse by undisciplined machine operators.

Cryptanalysis Following the occupation of Denmark and Norway, the Germans started to use a teleprinter circuit which ran through Sweden. The Swedes immediately tapped the line, in May 1940, and the mathematician and cryptographer Arne Beurling cracked the two earliest models in two weeks, using just pen and paper (a feat later replicated by Bill Tutte at Bletchley Park with the Lorenz teleprinter device used by the German High Command). The telephone company Ericsson manufactured a number of T52 analogue machines that could decode the messages once the key settings had been found by hand. The Swedes then read traffic in the system for three years, not only between Berlin and Oslo, but also between Germany and the German forces in Finland, and of course the German embassy in Stockholm. In total, the Swedes intercepted 500,000 German messages and decrypted 350,000. However, poor security meant the Germans eventually became aware of this. An improvement in T52 security in 1942 was defeated by the Swedes. However, a second upgrade in mid-1943 was not, and the flow of decrypted messages came to an end. The British first detected T52 traffic in the summer and autumn of 1942 on a link between Sicily and Libya, codenamed "Sturgeon", and another from the Aegean to Sicily, codenamed "Mackerel". Operators of both links were in the habit of enciphering several messages with the same machine settings, producing large numbers of depths. These depths were analysed by Michael Crum. The British at Bletchley Park later also broke into Sturgeon, although they did not break it as regularly as they broke Enigma or Tunny. This was partly because the T52 was by far the most complex cipher of the three, but also because the Luftwaffe very often retransmitted Sturgeon messages using easier-to-attack (or already broken) ciphers, making it unnecessary to attack Sturgeon.

See also SIGABA (United States) Typex (Britain) Siemens

References

Citations

Sources Donald W. Davies, The Siemens and Halske T52e Cipher Machine (reprinted in Cryptology: Yesterday, Today and Tomorrow, Artech House, Norwood, 1987) Donald W. Davies, The Early Models of the Siemens and Halske T52 Cipher Machine (also reprinted in Cryptology: Yesterday, Today and Tomorrow) Donald W. Davies, New Information on the History of the Siemens and Halske T52 Cipher Machines (reprinted in Selections from Cryptologia: History, People, and Technology, Artech House, Norwood, 1998)

External links

John Savard's page on the Geheimfernschreiber Photographs of Sturgeon Entry for "Sturgeon" in the Government Code and Cypher School Cryptographic Dictionary Bletchley Park's Sturgeon, the Fish that Laid No Eggs at The Rutherford Journal.

Illustrations

Siemens and Halske T52: "Sturgeon" exhibit at the US National Cryptologic Museum
"Sturgeon" exhibit at the US National Cryptologic Museum
Siemens and Halske T52: A T52d on display at the Imperial War Museum, London.
A T52d on display at the Imperial War Museum, London.

Worked examples

Example 1 — a first encounter with Siemens and Halske T52

Start with the simplest possible case. Write down what Siemens and Halske T52 claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Siemens and Halske T52 before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Siemens and Halske T52 ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Siemens and Halske T52

In research
Siemens and Halske T52 appears in computer science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Siemens and Halske T52 in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Siemens and Halske T52 is common in secondary-school and first-year university syllabi. It links to neighbouring topics Cryptographic hardware, Encryption devices, Signals intelligence of World War II, so understanding it makes those chapters shorter.
In everyday life
Look for Siemens and Halske T52 outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Siemens and Halske T52 in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Siemens and Halske T52 means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Siemens and Halske T52 out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Siemens and Halske T52 in simple terms?

The Siemens & Halske T52, also known as the Geheimschreiber ("secret teleprinter"), or Schlüsselfernschreibmaschine (SFM), was a World War II German cipher machine and teleprinter produced by the electrical engineering firm Siemens & Halske. The instrument and its traffic were codenamed Sturgeon by…

Why does Siemens and Halske T52 matter?

Because it connects several computer science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Siemens and Halske T52?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Siemens and Halske T52.

Tags

  • Cryptographic hardware
  • Encryption devices
  • Signals intelligence of World War II
  • World War II military equipment of Germany

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