The paper demonstrates a method for recognizing black box rings in large finite algebraic objects, suggesting new approaches in computational algebra.
Black box algebra is a part of computational algebra focused on probabilistic methods of solving problems in very large finite algebraic objects where deterministic approaches simply do not work. The present paper provides a construction of structural proxies for black box rings encrypting rings of 2×2 matrices over finite fields.
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Borovik et al. (2026) studied this question.
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