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As with any public key scheme, a user has to generate a public private key pair In order to do this, the user selects two large distinct prime numbers p and q The system modulus denoted N is the product of these two large primes Following this, Euler s totient function, (N ), is calculated as the product of ( p 2 1) and (q 2 1) The next step involves determining the public key component e such that 1 , e , (N ) and gcd[e, (N )] 1 where gcd denotes the greatest common divisor The public key of this user is then given by the pair of numbers (e, N ) The private key is given by d where d satis es the equation e d 1 mod (N ) and 0 d N An adversary can determine the private key if he/she can factorize the system modulus Hence, it is necessary to keep the factors of N, namely p and q, secret This key setup is done once (initially) when a user establishes (or replaces) their public key Note that the public key component e is usually fairly small Once the key pair is decided, the node publicizes the public key Any other node that wishes to send a message M con dentially to this node obtains the public key of the recipient node, which is (e, N ) The message M is then represented as an integer M where 0 M , N The ciphertext C is then computed as M e mod N The recipient on receiving the ciphertext uses the private key to decrypt the ciphertext as C d mod N, which results in the plaintext M As mentioned earlier, given the performance overhead associated with the public key algorithms, these algorithms are typically not used for encrypting data Rather, they are typically used to transport symmetric keys between the parties that need to exchange data securely In case of key transport, one of the parties involved decides the key This party then encrypts the key using the public key of the other party and sends the message to the other party, who can then obtain the key A problem with this scheme is that the key is decided by a single party In some cases, it might be preferable to let both the parties contribute equally to the resulting key This is referred to as key agreement We next explain brie y one such widely used key agreement protocol, the Dif e Hellman (DH) key exchange protocol The objective of DH protocol is to establish a common key between the participants of the protocol The common key is expected to be used to exchange messages securely using symmetric key ciphers Further, the common key is known only to the participants of the key exchange protocol The Dif e Hellman protocol itself does not ensure entity authentication This implies that the participants in the protocol do not have guarantees of the identities of each other Therefore, these participants need to use other techniques in order to verify the authenticity of each other The DH key exchange protocol is based on exponentiation in a nite (Galois) eld modulo a prime number This requires the ability to nd large primes as well as the ability to nd primitive roots [7] for large primes It also requires the ability to carry out ef cient modular arithmetic The security of the protocol depends on a hard problem This hard problem is the dif culty of computing discrete logarithms We now discuss how the DH protocol works We explain this in the context of two parties The parties rst have to select and share the public information, which is the prime number q and a primitive root a of this prime In the next stage each of the two parties, Alice and Bob calculate their public and private parameters The private parameter of Alice is a number XA chosen at random such that XA , q, while the public parameter is YA given by aXA mod q Similarly, Bob also chooses the private parameter to be XB , q randomly and determines the public parameter YB to be aXB mod q They then exchange their respective public parameters and calculate the shared secret as YB XA ; S ; YA XB.

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validation A postal questionnaire of criterion data on participant s job performance was conducted on average one year and seven and a half months after the initial testing For some 73 out of the 78 initial participants the questionnaires were returned; this equals a response rate of 94% Their age ranged from 28 to 57 (median 36) In most cases job performance ratings were obtained from their direct supervisors, who were asked to rate their subordinates on a series of job-related performance dimensions, all of which could be attributed to intelligence, problem solving ability, and cooperative ability The latter was used for the purpose of discriminant validation Raters were at rst requested to mark for each of the three dimensions on a four-point scale how in terms of the respective dimensions the ratee, in comparison to colleagues, belonged to different quartiles of the comparison group After these initial questions, which assess the extent of general abilities, 15 items tapped speci c behaviours considered to be relevant to everyday job performance They were indicators of constructs such as intelligence, problem solving ability, and cooperative ability To give an example, in one of these items related to problem solving ability the term sensibility and exibility towards changes has been explained as follows: The achievement to continously confront one s own actions with reality and to adjust one s own decisions exibly to feedback However, the rating scales measuring problem-solving behaviour and intellectual behaviour on the job were highly correlated, and were thus combined into a scale called quality of problem solving behaviour and intellectual behaviour in daily job performance Table 81 shows correlations of these criteria with intelligence, problem solving and knowledge The table shows the correlations of these predictors with the supervisor assessments made about one and a half years later Problem solving and intelligence related job performance could best be predicted by intelligence (r 0:39) The problem solving scenario and the knowledge test also proved to be valid predictors.

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This case when range information from more than three locations is used for the MMSE algorithm is typically referred to as multilateration The technique is illustrated in Figure 711 In this example, the system node performs ranging with four anchor points The circles drawn from each anchor point do not intersect on a single point The location is estimated by minimizing the distance from all four circles That location is shown in the middle of the four points on each circle We would also like to remark here that MMSE might also be combined with trilateration or triangulation This could be needed as the three measurements in either case might not be consistent This could result in a region estimate for the location instead of a point estimate MMSE technique could be used to get a point estimate in the estimated region 7224 Mapping (RSSI) In this approach, the quantities used for ranging, such as time of ight and signal strength, are determined at various locations during an of ine phase and a map prepared During the ranging operation of the real time phase, the system

Quality of problem solving behaviour and intellectual Partial correlations, controlling for behaviour in daily Job performance: job performance Intelligence Problem solving Knowledge cooperative ability Intelligence Problem solving Knowledge 039** 037** 030* 033** 029* 023 023 032** 032** 007 019 006

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