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An efficient computation technique for cryptosystems based on Lucas functions
Published 2008“…The V(e) and V(d) are both Lucas Function. The performances of computations of LUC are influence by the size of e and d. …”
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The Fourth Order Linear Recurrence Sequence For RSA Type Cryptosystem
Published 2006“…A cryptosystem is derived from the fourth order linear recurrence relations analogous to the RSA cryptosystem which is based on Lucas sequences. The fourth order linear recurrence sequence is a sequence of integers −1 −2 −3 −4 = − + − n n n n n V PV QV RV SV , where P, Q, R and S are coefficients in quartic polynomial, 0 4 3 2 x − Px + Qx − Rx + S = .The factorization of the quartic polynomial modulo p can be classified into five major types. …”
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Computation of private key for LUC cryptosystem
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4
Ancestral sequence reconstruction of ancient lipase from family I.3 bacterial lipolytic enzymes
Published 2022“…Various metal ions increased or retained the activity of LUCA. LUCA also demonstrated tolerance towards various organic solvents in 25% v/v concentration. …”
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Thermal adaptation and catalytic promiscuity of reconstructed ancient lipase from family I.3 bacterial lipolytic enzymes
Published 2020“…Next, gene encoding LUCA was synthesized, cloned and expressed in E. coli system. …”
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6