• A DISCUSSION ON SOLVING STANDARD QUADRATIC CONGRUENCE OF EVEN COMPOSITE MODULUS MODULO A SPECIAL EVEN MULTIPLE OF AN ODD PRIME

PROF B M ROY*

Abstract


In this paper, the author discussed the solutions of the standard quadratic congruence of composite modulus modulo a special even multiple of an odd prime in two cases. It is found that in the first case, the congruence has eight incongruence solutions while in the second case, it has sixteen incongruent solutions. The author established different formulae for the solutions for the congruence for both the cases. Formulation of solutions is the merit of the paper.


Keywords


Composite Modulus, Chinese Remainder Theorem, Odd Prime, Quadratic Residues, Quadratic congruence.

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