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SIGCUM

SIGCUM is a 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 SIGCUM rather than just read about it. In short: SIGCUM, also known as Converter M-228, was a rotor cipher machine used to encrypt teleprinter traffic by the United States Army. Hastily designed by William Friedman and Frank Rowlett, the system was put into service in January 1943 before any rigorous analysis of its security had taken place.

SIGCUM — main illustration
SIGCUM — illustration

Key takeaways

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

Reference excerpt

SIGCUM, also known as Converter M-228, was a rotor cipher machine used to encrypt teleprinter traffic by the United States Army. Hastily designed by William Friedman and Frank Rowlett, the system was put into service in January 1943 before any rigorous analysis of its security had taken place. SIGCUM was subsequently discovered to be insecure by Rowlett, and was immediately withdrawn from service. The machine was redesigned to improve its security, reintroduced into service by April 1943, and remained in use until the 1960s.

Development In 1939, Friedman and Rowlett worked on the problem of creating a secure teleprinter encryption system. They decided against using a tape-based system, such as those proposed by Gilbert Vernam, and instead conceived of the idea of generating a stream of five-bit pulses by use of wired rotors. Because of lack of funds and interest, however, the proposal was not pursued any further at that time. This changed with the United States' entry into World War II in December 1941. Rowlett was assigned to develop a teleprinter encryption system for use between Army command centers in United Kingdom and Australia (and later in North Africa). Friedman described to Rowlett a concrete design for a teleprinter cipher machine that he had invented. However, Rowlett discovered some flaws in Friedman's proposed circuitry that showed the design to be flawed. Under pressure to report to a superior about the progress of the machine, Friedman responded angrily, accusing Rowlett of trying to destroy his reputation as a cryptanalyst. After Friedman calmed down, Rowlett proposed some designs for a replacement machine based on rotors. They settled on one, and agreed to write up a complete design and have it reviewed by another cryptanalyst by the following day. The design agreed upon was a special attachment for a standard teleprinter. The attachment used a stack of five 26-contact rotors, the same as those used in the SIGABA, the highly secure US off-line cipher machine. Each time a key character was needed, thirteen inputs to the rotor stack were energized at the input endplate. Passing through the rotor stack, these thirteen inputs were to be scrambled at the output endplate. However, only five live contacts would be used. These five outputs would form five binary impulses, which would form the keystream for the cipher, to be combined with the message itself, encoded in the 5-bit Baudot code. The rotors advanced odometrically; that is, after each encipherment, the "fast" rotor would advance one step. Once every revolution of the fast rotor, the "medium" rotor would step once. Similarly, ever revolution of the medium rotor, the "slow" rotor would step, and so on for the other two rotors. However, which rotor was assigned as the "fast", "medium", "slow" etc. rotors was controlled by a set of five multi-switches. This gave a total of 5 ! = 120 {\displaystyle 5!=120} different rotor stepping patterns. The machine was equipped with a total of 10 rotors, each of which could be inserted "direct" or in reversed order, yielding 10 × 9 × 8 × 7 × 6 × 2 5 = 967 , 680 {\displaystyle 10\times 9\times 8\times 7\times 6\times 2^{5}=967,680} possible rotor orderings and alignments.

Introduction of the machine The design for this machine, which was designated the Converter M-228, or SIGCUM, was given to the Teletype Corporation, who were also producing SIGABA. Rowlett recommended that the adoption of the machine be postponed until after a study of its cryptographic security, but SIGCUM was urgently needed by the Army, and the machine was put into production. Rowlett then proposed that the machine used in the Pentagon code room be monitored by connecting a page-printing "spy machine". The output could be then studied to establish whether the machine was resistant to attack. Rowlett's suggestion was implemented at the same time the first M-228 machines were installed at the Pentagon in January 1943, used for the Washington-Algiers link. The machines worked as planned, and, initially, Rowlett's study of its security, joined by cryptanalyst Robert Ferner, uncovered no signs of cryptographic weakness. However, after a few days, a SIGCUM operator made a serious operating error, retransmitting the same message twice using the same machine settings, producing a depth. From this, Rowlett was able to deduce the underlying plaintext and keystream used by the machine. By 2 a.m., an analysis of the keystream allowed him to deduce the wiring of the fast and medium rotors, and of the output wiring. SIGCUM was immediately withdrawn from service, and work on a replacement system, SIGTOT — a one-time tape machine designed by Leo Rosen — was given top priority.

… excerpt ends here. Continue reading the full article.

Illustrations

SIGCUM: SIGCUM on display at the US National Cryptologic Museum.
SIGCUM on display at the US National Cryptologic Museum.

Worked examples

Example 1 — a first encounter with SIGCUM

Start with the simplest possible case. Write down what SIGCUM claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In 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 SIGCUM 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 SIGCUM 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 SIGCUM

In research
SIGCUM appears in 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 SIGCUM 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
SIGCUM is common in secondary-school and first-year university syllabi. It links to neighbouring topics Encryption devices, Rotor machines, so understanding it makes those chapters shorter.
In everyday life
Look for SIGCUM 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 SIGCUM in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what SIGCUM 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 SIGCUM out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is SIGCUM in simple terms?

SIGCUM, also known as Converter M-228, was a rotor cipher machine used to encrypt teleprinter traffic by the United States Army. Hastily designed by William Friedman and Frank Rowlett, the system was put into service in January 1943 before any rigorous analysis of its security had taken place.

Why does SIGCUM matter?

Because it connects several 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 SIGCUM?

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 SIGCUM.

Tags

  • Encryption devices
  • Rotor machines

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