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The collective/differential ight control surfaces allow a signi cant enhancement of the aircraft performance over and above that normally possible in an F-15 in the approach con guration. In addition normal control modes and the use of collective ight control surfaces should offer direct translational ight; that is, operation of those control surfaces should allow the aircraft to move, say vertically, without altering the pitch vector or attitude. The thrust vectoring



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Protocol ap40 is illustrated in Figure 73-4 By using the once-in-a-lifetime value, R, and then checking the returned value, KA-B (R), Bob can be sure that both Alice is who she says she is (since she knows the secret key value needed to encrypt R) and is "live" (since she has encrypted the nonce, R, that Bob just created)





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smectic C* phase (Negishi et al., 1996a). In this system, the chiral dopant also acts as a photoresponsive molecule; therefore, a change in molecular shape of the dopant is expected to affect signi cantly the phase structure of the smectic C* phase because the molecular shape of the dopant is crucial for the induction of the smectic C* phase. The azobenzene with a cyclic carbonate is quite effective at inducing the photochemical ip of polarization of the ferroelectric LC mixture (Negishi et al., 1996a). Furthermore, azobenzene derivatives that exhibit antiferroelectric properties were developed, and their photoresponsive behavior was

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The use of a nonce and symmetric key cryptography formed the basis of our successful authentication protocol, ap40 A natural question is whether we can use a nonce and public key cryptography (rather than symmetric key cryptography) to solve the authentication problem The use of a public key approach would obviate a difficulty in any shared key system - worrying about how the two parties learn the secret shared key value in the first place A protocol that uses public key cryptography in a manner analogous to the use of symmetric key cryptography in protocol ap40 is protocol ap50: ap50:

control adds an additional facility and the aircraft has been ying with 2-D nozzles operational since May 1989. These may be operated in a thrust reverser mode. The F-15 SMTD has been under test since 1988 and has demonstrated operation of the thrust reversers in ight.

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Alice sends the message, "I am Alice," to Bob Bob chooses a nonce, R, and sends it to Alice Once again, the nonce will be used to insure that Alice is "live" Alice uses her decryption algorithm with her private key, dA, to the nonce and sends the resulting value dA(R) to Bob Since only Alice knows her decryption key, no one except Alice can generate dA(R) Bob applies Alice's public encryption algorithm, eA to the received message, ie, Bob computes eA(dA(R)) Recall from our discussion of RSA public key cryptography in section 72 that eA(dA(R)) = R = dA(eA(R)) Thus Bob computes R and authenticates Alice

examined (14a, b) (Negishi et al., 1996b). The photochemical ip of polarization in these antiferroelectric LCs is induced very effectively (Negishi et al., 1996b), and a device fabricated with these antiferroelectric LCs was explored (Shirota and Yamaguchi, 1997).

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Figure 73-5: Protocol ap 50 working correctly The operation of protocol ap50 is illustrated in Figure 73-5 Is protocol ap50 as secure as protocol ap40 Both use nonces Since ap50 uses public key techniques, it requires that Bob retrieve Alice's public key This leads to an interesting scenario, shown in Figure 73-6, in which Trudy may be able to impersonate Alice to Bob:

3.4.4.3. Photochemical Phase Transition of Azobenzene LC Polymers. LC polymers possess properties of both polymers and LCs and currently are regarded as promising photonic materials because of their advantageous properties mentioned earlier. Wendorff and coworkers reported the rst example of a photon-mode photoresponse in LC polymers, namely, holographic recording in LC polymer lms containing azobenzene moieties and mesogenic groups (Eich et al., 1987; Eich and Wendorff, 1987). Ikeda et al. (1990a,b, 1988) reported the rst example of the photochemical phase transition in LC polymers; they demonstrated that by irradiation of LC polymers doped with LMW azobenzene derivatives with UV light to cause trans cis isomerization led to a nematic isotropic phase transition; upon cis trans back-isomerization, the LC polymers reverted to the initial nematic phase. Although doping the chromophores in a matrix is most convenient, the resultant LC polymer systems often exhibit instabilities, such as phase separation and microcrystallization. This occurs because of the mobility of the azobenzene chromophores in the matrix and the propensity of the dipolar azobenzene units to form aggregates. Higher quality LC polymer systems are obtained when the azobenzene moiety is covalently bound to the host polymer matrix, and this approach is now preferable for most applications. These materials combine the stability and processability of LC polymers, with the unusual photoresponsive behavior of the azobenzene groups. A variety of

F-15 SMTD (Courtesy of Boeing)

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