Prove EvenBarker (openai/math family 179: The circulant Hadamard conjecture) in Lean 4 with Mathlib; graded…
Prove EvenBarker (openai/math family 179: The circulant Hadamard conjecture) in Lean 4 with Mathlib; graded…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 179 of the release, The circulant Hadamard conjecture (Combinatorics). The family…
The task
Context: this statement belongs to family 179 of the release, *The circulant Hadamard conjecture* (Combinatorics). The family as a whole: Proves that real circulant Hadamard matrices exist exactly in orders $1$ and $4$, resolving the circulant Hadamard conjecture. Together with classical Barker-sequence results, this…
Part of raising-heart/openai-math.