• Journal of the Korea Institute of Information Security & Cryptology
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• v.17 no.1
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• pp.127-132
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• 2007

This paper proposed receding methods for a radix-${\gamma}$ representation of the secret scalar which are resistant to SPA. Unlike existing receding method, these receding methods are left-to-right so they can be interleaved with a left-to-right scalar multiplication, removing the need to store both the scalar and its receding. Hence, these left-to-right methods are suitable for implementing on memory limited devices such as smart cards and sensor nodes

• Journal of the Korea Institute of Information Security & Cryptology
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• v.17 no.1
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• pp.21-32
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• 2007

Vuillaume-Okeya presented unsigned receding methods for protecting modular exponentiations against side channel attacks, which are suitable for tamper-resistant implementations of RSA or DSA which does not benefit from cheap inversions. The proposed method was using a signed representation with digits set ${1,2,{\cdots},2^{\omega}-1}$, where 0 is absent. This receding method was designed to be computed only from the right-to-left, i.e., it is necessary to finish the receding and to store the receded string before starting the left-to-right evaluation stage. This paper describes new receding methods for producing SPA-resistant unsigned representations which are scanned from left to right contrary to the previous ones. Our contributions are as follows; (1) SPA-resistant unsigned left-to-right receding with general width-${\omega}$, (2) special case when ${\omega}=1$, i.e., unsigned binary representation using the digit set {1,2}, (3) SPA-resistant unsigned left-to-right Comb receding, (4) extension to unsigned radix-${\gamma}$ left-to-right receding secure against SPA. Hence, these left-to-right methods are suitable for implementing on memory limited devices such as smartcards and sensor nodes

• Journal of Korean Medicine Rehabilitation
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• v.28 no.1
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• pp.85-96
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• 2018

Objectives This study was performed to compare the electrical methods of motor points mapping using surface EMG and electric probe (Pointer Excel II). Methods 32 healthy adults (male 16, female 16) were selected. and classified into two groups; surface EMG group, electric probe (Pointer Excel II) group. In surface EMG group, motor points were searched by recoding the compound muscle potentials. In electric probe (Pointer Excel II) group, motor points were searched by scanning the skin with Pointer Excel II at low level stimulation. The locations of the motor points were expressed as X and Y values in relation to the reference line. The horizontal reference line was set as elbow crease and the vertical reference line was set as the line connecting coracoid process to the center of the horizontal reference line. The data was analyzed by 'Independent T-test' and 'equivalence test'. Results 1. The motor points of short head and long head of biceps brachii muscle were located at about 2/3 length of the vertical reference line from coracoid process and about 1/5~1/4 length of the half of the horizontal reference line from the vertical reference line in both group. 2. The motor points of the short head were located more distally and close to the vertical reference line (p<0.001). 3. In surface EMG group, the motor points of the long head were located more laterally in the female than male. And the motor points of the long head were located more distally in the left side than right side (p<0.05). In electric probe (Pointer Excel II) group, similar tendency was observed but there was no statistically significant difference (p>0.05). 4. As a result of the equivalence test between surface EMG group and electric probe (Pointer Excel II) group, the confidence intervals of the difference were within the equivalence limit. Therefore, the locations of the motor points searched by two ways are equa l (p>0.05, equivalence interval=3%). Conclusions The results indicate that electric probe (Pointer Excel II) can be used to search the motor points instead of surface EMG. This might improve the clinical efficiency when using the motor points to treat muscle dysfunction.