Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Euclidean algorithm | Statement: [Gröbner basis, generalizationOf, Euclidean algorithm]

Target entity: Euclidean algorithm
Context triple: [Gröbner basis, generalizationOf, Euclidean algorithm]

• A. Euclidean algorithm for polynomials chosen
  The Euclidean algorithm for polynomials is a procedure that repeatedly applies polynomial division to compute the greatest common divisor of two polynomials over a given field or ring.
• B. Berlekamp–Massey algorithm
  The Berlekamp–Massey algorithm is a key algorithm in coding theory and cryptography used to efficiently determine the shortest linear feedback shift register that generates a given binary sequence.
• C. Chinese remainder theorem
  The Chinese remainder theorem is a fundamental result in number theory that provides conditions and a method for solving systems of simultaneous congruences with pairwise coprime moduli.
• D. Cantor–Zassenhaus algorithm
  The Cantor–Zassenhaus algorithm is a probabilistic method used to factor polynomials over finite fields efficiently, widely employed in computational algebra and cryptography.
• E. Euler’s totient function φ(n)
  Euler’s totient function φ(n) is a fundamental arithmetic function in number theory that counts the positive integers up to n that are relatively prime to n and plays a key role in topics such as modular arithmetic and cryptography.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.