Existence conjecture for Hadamard matrices of 2N-type
Existence conjecture for Hadamard matrices of 2N-type
A Hadamard matrix of 2N-type is a Hadamard matrix of order of the block form
where and are negacyclic blocks. 2N-type existence conjecture. For each even integer , there exists a Hadamard matrix of 2N-type and order . Via the bijection between such matrices and NG-pairs, this is equivalent to the assertion that NG-pairs exist for all even lengths; the source gives no general construction and notes the absence of a pair of length .
Sources & referencesView supporting material
Primary source
N. A. Balonin and D. Z. Djokovic, “Negaperiodic Golay pairs and Hadamard matrices”, arXiv:1508.00640 (2015).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.