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: Steiner system | Statement: [Steiner tree problem, relatedTo, Steiner system]

Target entity: Steiner system
Context triple: [Steiner tree problem, relatedTo, Steiner system]

• A. Bose construction of Steiner systems
  The Bose construction of Steiner systems is a combinatorial method introduced by mathematician Raj Chandra Bose to systematically build certain highly regular block designs known as Steiner systems.
• B. Goethals–Seidel construction
  The Goethals–Seidel construction is a classical combinatorial method for building large Hadamard matrices from smaller ones using structured block and circulant matrix arrangements.
• C. Bose–Bush construction of orthogonal arrays
  The Bose–Bush construction of orthogonal arrays is a foundational combinatorial method that systematically builds highly structured experimental designs and error-correcting codes with strong balance and symmetry properties.
• D. Sylvester construction
  The Sylvester construction is a recursive method for generating larger Hadamard matrices from smaller ones, starting from a 2×2 base matrix.
• E. Szekeres configuration
  The Szekeres configuration is a notable geometric arrangement in projective geometry consisting of points and lines with specific incidence properties, studied for its combinatorial and symmetry characteristics.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Steiner system
Target entity description: A Steiner system is a highly regular combinatorial design in which a finite set of points is arranged into subsets (blocks) so that every smaller subset of points is contained in exactly one block.

• A. Bose construction of Steiner systems
  The Bose construction of Steiner systems is a combinatorial method introduced by mathematician Raj Chandra Bose to systematically build certain highly regular block designs known as Steiner systems.
• B. Goethals–Seidel construction
  The Goethals–Seidel construction is a classical combinatorial method for building large Hadamard matrices from smaller ones using structured block and circulant matrix arrangements.
• C. Bose–Bush construction of orthogonal arrays
  The Bose–Bush construction of orthogonal arrays is a foundational combinatorial method that systematically builds highly structured experimental designs and error-correcting codes with strong balance and symmetry properties.
• D. Sylvester construction
  The Sylvester construction is a recursive method for generating larger Hadamard matrices from smaller ones, starting from a 2×2 base matrix.
• E. Szekeres configuration
  The Szekeres configuration is a notable geometric arrangement in projective geometry consisting of points and lines with specific incidence properties, studied for its combinatorial and symmetry characteristics.
• F. None of above. chosen