>From: "Wendy Nather" >Subject: for Yucks >Date: Mon, 25 Feb 2002 16:53:20 -0600 > > >From: Dan Geer [mailto:geer@TheWorld.com] >Sent: Sunday, February 24, 2002 9:16 AM >Subject: alice and bob > > > > >http://www.conceptlabs.co.uk/alicebob.html > > The Alice and Bob After Dinner Speech > given at the > Zurich Seminar, April 1984 > by > John Gordon > by invitation of > Professor James Massey > >Good evening Ladies and Gentlemen. > >There comes a time when people at a technical conference like this need >something more relaxing. A change of pace. A shift of style. To put aside >all that work stuff and think of something refreshingly different. > >So let's talk about coding theory. > >There are perhaps some of you here tonight who are not experts in coding >theory, but rather have been dragged here kicking and screaming. So I >thought it would be a good idea if I gave you a sort of instant, five minute >graduate course in coding theory. > >Coding theorists are concerned with two things. > >Firstly and most importantly they are concerned with the private lives of >two people called Alice and Bob. In theory papers, whenever a coding >theorist wants to describe a transaction between two parties he doesn't call >then A and B. No. For some longstanding traditional reason he calls then >Alice and Bob. > >Now there are hundreds of papers written about Alice and Bob. Over the >years Alice and Bob have tried to defraud insurance companies, they have >played poker for high stakes by mail, and they have exchanged secret >messages over tapped telephones. > >If we put together all the little details from here and there, snippets from >lots of papers, we get a fascinating picture of their lives. This may be the >first time a definitive biography of Alice and Bob has been given. In >papers written by American authors Bob is frequently selling stock to >speculators. From the number of stock market deals Bob is involved in we >infer that he is probably a stockbroker. > >However from his concern about eavesdropping he is probably active in some >subversive enterprise as well. And from the number of times Alice tries to >buy stock from him we infer she is probably a speculator. > >Alice is also concerned that her financial dealings with Bob are not brought >to the attention of her husband. > >So Bob is a subversive stockbroker and Alice is a two-timing speculator. > >But Alice has a number of serious problems. > >She and Bob only get to talk by telephone or by electronic mail. In the >country where they live the telephone service is very expensive. And Alice >and Bob are cheapskates. So the first thing Alice must do is MINIMIZE THE >COST OF THE PHONE CALL. > >The telephone is also very noisy. Often the interference is so bad that >Alice and Bob can hardly hear each other. > >On top of that Alice and Bob have very powerful enemies. One of their >enemies is the Tax Authority. Another is the Secret Police. > >This is a pity since their favorite topics of discussion are tax frauds and >overthrowing the government. > >These enemies have almost unlimited resources. They always listen in to >telephone conversations between Alice and Bob. > >And these enemies are very sneaky. One of their favorite tricks is to >telephone Alice and pretend to be Bob. Well, you think, so all Alice has to >do is listen very carefully to be sure she recognizes Bob's voice. > >But no. You see Alice has never met Bob. She has no idea what his voice >sounds like. > >So you see Alice has a whole bunch of problems to face. Oh yes, and there >is one more thing I forgot so say - Alice doesn't trust Bob. We don't know >why she doesn't trust him, but at some time in the past there has been an >incident. > >Now most people in Alice's position would give up. > >Not Alice. She has courage which can only be described as awesome. > >Against all odds, over a noisy telephone line, tapped by the tax authorities >and the secret police, Alice will happily attempt, with someone she doesn't >trust, whom she cannot hear clearly, and who is probably someone else, to >fiddle her tax returns and to organize a coup d'etat, while at the same time >minimizing the cost of the phone call. > >A coding theorist is someone who doesn't think Alice is crazy. > > Information > >The other thing coding theorists are concerned with is information. > >Nothing else is like information. Information is very peculiar stuff. It >can both be created and destroyed. You can steal it without removing it. >You can often get some just by guessing. > >Yet it can have great value. It can be bought and sold. > >One type of information is called Money. > >There are people who refuse to concede that money can be created and >destroyed. They spend their entire lives altering records and making >adjustments to ensure that every time a bit of money leaves some place, an >equal bit seems to appear somewhere else. > >These people are called accountants. > > Source, channel and secrecy coding > >Coding theory, like Gaul, is divided into three parts called Source coding, >channel coding and secrecy coding. > > Source coding > >First I'll tell you about source coding. > >Source coding is what Alice uses to save money on her telephone bills. > >It is usually used for data compression. In other words to make messages >shorter. There is a story about a student of information theory on his first >day at college. He had entered a strange, bizarre world. The only sounds >were the occasional calling out of a number by one of the professors, >followed by laughter. One professor would say '52', there would be a short >pause then peels of laughter. Someone else says '713'. Same thing, everyone >falls down laughing. "What's going on here" he asked his tutor. > >"We're telling jokes" said his tutor. > >"Telling Jokes?" > >"Yes, you see we've all worked here so long we know each other's jokes. >There are a thousand of them. So, being information theorists we applied >data compression. We just assigned them all numbers, 0 thru 999. It saves >a lot of time and effort. Would you like to try? Just say any number 0 to >999..." > >He wasn't fully convinced. But he tried. Very quietly he whispered "477". > >Hardly a murmur. > >He looked at his tutor. "What's wrong" he said. > >"Try again" says the tutor. > >So he does. "318" - same again, not a thing, hardly a murmur. > >"Something's wrong" he says. > >"Well" says the tutor, it's like this. - It's not so much the joke as the >way you tell it!" > >There is a curious sequel to this story. This student eventually succeeded >by accident in the most dramatic and unexpected way. He called out a number >outside the range 0 to 999. "Minus 105" he said. > >At first there was stunned amazement, then first one professor laughed, then >another then another, till they were all rolling about holding their sides. > >None of them had heard that one before. > > Channel coding > >Next we come to channel coding. > >Channel coding is what Alice uses to overcome the noise and interference on >the line. Most people have a natural instinct for channel coding. What they >do is to spell out important words. This adds redundancy and enables the >listener to cross check. If part of the message is lost the missing bit can >be reconstructed from the remaining part. Many organizations such as the >military, the aviation community, the Police and so on use a standard >phonetic alphabet specially designed for this purpose. > >It goes Alpha, Bravo, Charlie, Delta, Echo, Foxtrot, etc. So one says "Mike" >and "November", which is much clearer than saying "M" and "N" which are >easily confused otherwise. > >Alice uses this to explain to Bob that her husband Michael is getting >suspicious of her stock option dealing. > >"I have to tell you about Mike" she says. > >But Bob hears "I XXve to tell u XXt Xxike". > >"What's that again" says Bob. > >"I have to tell you about Mike" says Alice. > >"Didn't get the last word Alice" says Bob, "Can you spell it out" > >"Mike India Kilo Echo" says Alice. > >"Got India Kilo Echo, What was the first word" says Bob. > >"Mike" > >"Can you spell that?" > >"Mike India Kilo Echo" etc. > >Actually there have been lots of other phonetic alphabets, The predecessor >to the International Phonetic Alphabet went Able, Baker, Charlie... > >Then there are those based on names of countries:- Africa, Brazil, Chile, >Denmark, England, France, Greenland, Holland, India, Japan, Khazakistan, >Lithuania, Morocco, Niger, Oman, Papua, Qatar, Russia, Spain, Tanzania, >Uruguay, Venezuela,WestPhalia, Yemen, Xanadu, Zambia. > >My personal favorite is this > >A for 'Orses > >B for Mutton > >C for Yourself > >D for Mation > >E for Brick > >F for Vescence > >G for Police > >H for Consent > >I for Lutin > >J for Orange > >K for Teria > >L for Leather > >M for Sis > >N for Mation > >O for A Muse of Fire > >P for Ate > >Q for A Song > >S for Something Else > >T for Two > >U for Mism > >V for La France > >W for Mism > >X for Breakfast > >Y for Lover > >Z (zee) for yourself > > Secrecy coding > >Finally we come to Secrecy Coding, or Cryptography. > >Secrecy Coding is what Alice uses to try to stop the tax authorities and the >secret police understanding her telephone conversations. > >Now cryptographers are very peculiar people. They have very devious minds. > >Sometimes they encrypt jokes. Security agencies call these "Covert Jokes". >People who make them are CryptoLaffers. > >An intelligible joke in its raw form is called the Plainjoke, and after >encryption is called the Cipherjoke or Cryptojoke. > >Cipherjokes are intelligible of course only after Decryption, or as some >people call it, after explanation. > >There are three kinds of attack on an unintelligible cryptojoke according to >the Jokeanalyst's resources. > >Firstly there is the Cipherjoke-only attack in which the Jokeanalyst is >assumed to have unlimited amounts of material which is alleged to be funny. > >Secondly and more powerfully there is the Known Plainjoke Attack in which he >is given examples of jokes together with their explanations. > >But most powerful of all is the Chosen Plainjoke Attack where he gets to ask >the Cryptolaffer to explain WHY the joke is funny. > >Feeble jokes are usually encrypted using only a very simple cipher, like >changing the punch line. This is called the DEFLECTED ENDING SYSTEM or DES. > >Very good jokes, the comprehension of which by outsiders could constitute a >threat to national security, are encrypted much more securely, usually by >completely changing the scenario, the plot and the conclusion. This is the >PARTICULARLY KLEVER COVERUP or PKC. > >The best known PKC RESISTS SERIOUS ATTACK and is therefore called the RSA. > >As a corollary of course, it follows that only very gifted, intelligent >people can truly appreciate a funny speech. > > Standardisation > >Since it is difficult to design a good cipher, and since the apparatus is >very expensive, a lot of work has been done recently to try to standardize >on them. Even as I speak the International Standards Organization is meeting >to decide on this very issue. Since there is a lot of confusion on this >point I have been asked to make the position clear. The purpose of language >is to convey information. This only works if both sender and receiver of >information both use the same system. In other words language only works >precisely because it is standardized. > >The purpose of cryptography on the other hand is to make the message >unintelligible except to one person. In other words cryptography only works >precisely because it is NOT standardized. > >So what they do is to make most of the cipher standardized, and to >concentrate the non-standardization into one part called the key. > >So far so good. But of course the key, the non-standardized part, must be >nonstandard in only standardized ways. And also key management must conform >to certain standards. In other words standards are being formulated whereby >the nonstandard parts, which must conform to certain standards of >non-standardization are also to be handled only in a standardized >nonstandard way in order to standardize on the overall non-standardization. > >I hope this makes the position clear. > > Weak keys > >Many ciphers have certain bad keys. If you use one of them the cipher is >easily broken. For instance all-zeros is a weak key for the DES. There has >been a lot of research done into searching for weak keys. Over the years >more and more weak keys have been found till now one has to be quite careful >to avoid them. > >Perhaps it would be a better idea if we looked for strong keys. In fact why >not look for THE STRONGEST POSSIBLE KEY. Then we could all standardize on it. > > Processing delay > >Coding theory is not without its problems. The introduction of source >coding, channel coding and secrecy coding often introduces something called >PROCESSING DELAY. This is the delay caused by the time it takes to do all >this coding and decoding. These delays can be enormous. History gives us >instances when this delay has changed the course of world events. There is a >recorded case of a two-word military signal which suffered a processing >delay of 150 years. The message, deciphered at the Pentagon in 1972 simply >read > >"Send Reinforcements" > >It was sent in 1830 from Little Bighorn by General Custer. > >Consider the message: > >"Return home at once, trip cancelled." > >and think of the effect on world events if it had been decoded in time. It >was sent in 1492 by Isobella of Spain to Christopher Columbus. > >But these delays are nothing in comparison with the next example. We are >told by Suetonius that Julius Caesar communicated with the Orator Cicero in >a cipher in which 'A' was sent as 'B', 'B' as 'C' and so on. If you apply >this cipher to HAL - the computer in the Stanley Kubrick movie: 2001 - you >get IBM. Some correspondence from Julius Caesar to Cicero in this complex >cipher have finally been deciphered by GCHQ and will be published in the >June edition of Cryptologia. Their contents paint a disturbingly different >picture of the world from Caesar's official dispatches to Rome in De Bello >Gallico. > >I am privileged to have an advance copy from which I will read you an >extract. > >"Alexandria, April 14th 48 BC (think about it) > >Dear Marcus Tullius > >Thank the Gods you and I have a secure cipher. I would not care to have our >messages read by my enemies. Frankly I don't trust most of the Senate. > >Take Mark Anthony. Would you trust him? He is so incompetent he couldn't >organize a libation at an orgy. > >Take Gaius Brutus. Would you buy a used chariot from this man? I think he is >plotting behind my back. Sometimes he scares the Toga off me. > >And as for the Gauls. What a bunch of morons. I thought all their problems >would be solved when we formed the GEC - the Gallic Economic Community. But >what happens? We guarantee minimum prices on food exports, the so called >"Green Denarius". We provide subsidies on cheap labor saving gadgets.- Like >slaves. > >Then what happens? We get a run on the Denarius. Inflation runs at record >levels. And they squander our subsidies on gross overproduction of wine. We >have to sell it off cheap to the Barbarians to maintain the price level >within the GEC. > >I am fed up with the whole business. When I get back to Rome I will retire. >I have it all planned. I lied about the size of Gaul in my official >dispatches. I have found the most divine little spot for my retirement which >I am keeping quiet about. > >I am not having those Senators getting their grubby hands on it. And I've >takes steps to make sure they never can. So for your ears alone Marcus >Tullius, I have my special, secret retirement place all organized. It >doesn't appear on any map because I authorize the maps. > >Officially it doesn't exist. > >So it can't be found or taxed. > >I have managed to conceal a whole extra part of Gaul! > >So forget De Bello Gallico. The reality is Gaul is divided into FOUR >parts." > > The modern world > >Well that ends the instant course on coding theory. > >I would like to finish with a few words on the impact that information >technology is having on our everyday lives. Science has marched ahead so >fast that we take for granted the most incredible technological >developments. Magnetrons, which were a closely guarded secret during the >1939-45 war are now part of every microwave cooker. And made in Japan. When >I was a child, space travel was science fiction. Yet today, advance is so >rapid that even the astronauts who set foot on the moon in 1969 had never >seen a digital watch. Nor a pocket calculator. > >Pocket calculators! Now there's something. They are so complicated! > >I have a calculator which has sines, cosines, tangents, logarithms, >hyperbolic functions and multiple nested parentheses. You can program it in >Fortran, Algol, Basic, Pascal, Forth, Fifth and Sixth, ADA and Caruthers. It >will factorize Primes for you. At present it is working on the Halting >Problem. It translates from one language to another. > >>From German to Spanish. > >>From Macedonian to Esperanto. > >>From Cantonese to Greek. > >Or from American to English. > >It is in fact a multiprocessor system. There are 22 Transputers in there. >Sometimes they organize a game of football between them. It has a full >color, wraparound wide screen, liquid crystal, three-dimensional holographic >display. It's called HoloChromaCinePhotoRamaScope. Its audio facilities >include Dolby Digital Decaphonic surround sound. On the way here I watched >"The Labyrinth" on it. > >It also has synthetic speech and a voice recognition system. I often talk to >it. I tell it my problems. Sometimes it psychoanalyses me. It has me figured >as paranoid. But that's just because it keeps getting at me. But don't get >me wrong - it can be very user friendly. In fact you can program precisely >HOW user friendly you want it is to be on a scale from ONE to TEN. > >On a setting of ONE it won't even interrupt a football game to answer you. >But on a setting of TEN it is so friendly that on a cold day it pre-heats >its pushbuttons. > >But no matter who smart it SEEMS, deep down inside it is just a dumb old >computer. > >One time I got really mad at it. > >Like all computers, it knew precisely what I wanted it to do. > >It know exactly what I MEANT. So why does it have to go and DO what I SAID? > >How do you get even with a dumb machine like that? > >First I tried slapping it around a little. I pushed its buttons a bit hard. > >I threatened it. "How would you like a busted display" I said. > >But it did no good. It just said "I am virtually unbreakable - and I'm not >going to take any notice till you enter the data nicely, like you used to >do." > >Whatever I did, it always seemed to win. I decided to have a man-to-man talk >with it. So I sat it down and said to it "Who's the boss here, you or me?" > >No reply. > >Again I ask "Who's the boss, you or me? Go on answer me!" > >"I'm thinking, I'm thinking" it said. > >So I hit it. > >Hard. > >Too hard. I cracked its case. > >At first I thought that was the limit of the damage. But then little things >started to go wrong. > >At first there was nothing definite. Nothing you could put your finger on. > >Just little things like stuttering. > >It just didn't sound quite the same. Its voice seemed to lack its former >confidence. > >Then once I caught it making an arithmetic mistake. Of course I didn't >mention it. But you could tell it knew. Its self image was shot to pieces. > >Saddest of all, it forgot our anniversary - of the day I bought it. In the >past this had been a special time for us. > >I just couldn't bear it any longer. One evening I tucked it up snugly in its >case, lit candles, played a record which was popular when we first met, and >sat down beside it. > >"Where did we go wrong?" I said. But it had it pride. It wasn't about to >weaken in front of a non-machine. > >"Wrong? Nothing is Wrong" it said. "Just insufficient data." > >But underneath you could tell it was hurt. > >>From there it was a rapid downhill slide. > >Now it just mutters to itself. It can only do very simple calculations on >small numbers. > >Finally came the ultimate indignity. It lost control. It leaked electrolyte >all over its case. I felt so bad about it. > >My other gadgets weren't happy about it either. They all came out in >sympathy for the calculator. My watch gave me a bad time. My power tools >keep blowing fuses. > >Then one night last week I was driving my car back from London when suddenly >the engine stopped all by itself on this lonely country road. > >I tried to get out but the solenoids were inhibited by the central locking >computer. > >Suddenly the air conditioner came on and started to blow out freezing cold >air. It made a noise like wind whistling through the trees. > >Then this creepy music came from the loudspeaker. The sort of music they >play in movies when the hero is lost in a dark forest. > >I got scared. The cold, the wind and the weird music got to me. > >Then it started to speak. > >"You're the guy who beats up pocket calculators!"