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Logic & Puzzles

If a large database system relies on checksums generated using Fermat's Little Theorem for data integrity verification, which consequence follows from an undetected data corruption?

A)System halts to prevent propagation
B)Automatic data repair occurs immediately
C)Minor performance degradation becomes apparent
D)Data corruption remains undetected initially

💡 Explanation

When a data corruption alters the checksum's value without being flagged by the initial verification, it means the corrupted data might still satisfy the congruence relation defined by Fermat's Little Theorem, because some errors won't change the result modulo the prime. Therefore, the corruption remains initially undetected, rather than causing immediate halts or repair which would require stronger error detection.

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