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which corresponds to the message DOG. Based on the ciphertext and the putative plaintext, Trudy has no way to judge whether the message DOG is any more likely than the message CAT, or any other three letter message that car1 be spelled from the eight letters in Table 1.8. That is, decrypting C with any one of the possible 83 = 512 keys gives one of the 512 possible plaintext messages and the ciphertext itself gives no hint as to which of these is correct.

where fOk and fyi are respectively the activation function for output unit ok and hidden unit yj; wkj is the weight between output unit ok and hidden unit yj; Z i,p is the value of input unit Zi{ for input pattern p; the (I + l)-th input unit and the ( J + l)-th hidden unit are bias units representing the threshold values of neurons in the next layer. Note that each activation function can be a different function. It is not necessary that all activation functions be the same. Also, each input unit can implement an activation function. It is usually assumed that inputs units have linear activation functions.

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The one-time in the one-time pad is crucial. If a key K is used more than once, then the one-time pad (which is, technically, no longer a one-time pad) is subject to an attack. Different messages encrypted with the same key are said to be in depth. Suppose that plaintext messages Po and PI are in depth, that is, both are encrypted with a one-time pad using the same key I(, yielding ciphertexts Co and C1, respectively. Then if Trudy obtains both ciphertexts, she can compute

Configuring and Using Metadata Overlays 76 Switching between RAW + JPEG Masters Working with Referenced Images Identifying and managing referenced images 79 Reconnecting a missing master Relocating referenced masters Converting referenced masters to managed masters Deleting referenced files Working with Stacks in Browser Creating and Working with Light Tables 80 81 83 83 84 86 78 79

that is, Trudy can obtain the XOR of the two plaintexts It might then be possible for Trudy to peel apart these two messages, depending on the properties of the plaintext The fundamental issue here is that the attacker can, in effect, use one of the messages as a check on any guess for the other message (or the key) Consequently, the ciphertext now provides information about the underlying plaintext and the security can no longer be assured The problem only gets worse (or, from Trudy s perspective, better) the more the one-time pad is reused An obvious practical problem with the one-time pad is that a key having the same length as the plaintext must be securely transmitted to the recipient, and this key can only be used once.

If the key can be securely distributed, why not send the message by the same means, in which case there is no need to encrypt However, it is important to note that there are some cases where a onetime pad is practical In some situations it may be easy to send the key at a particular time, and then use it at a later time when it would be difficult or impossible to communicate securely For example, in the 1930s and 1940s, the Soviet Union used a one-time pad cipher to t,ransmit intelligence gathered from spies in the United States Soviet agents would simply bring their onetime pads with them when entering the United States, then use these to encrypt sensitive messages as necessary In fact, these one-time pads were often used more than once and, as a result, many of the messages were eventually broken by United States cryptanalysts.

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