---
res:
  bibo_abstract:
  - We use modular symmetric designs to study the existence of Hadamard matrices modulo
    certain primes. We solve the 7-modular and 11-modular versions of the Hadamard
    conjecture for all but a finite number of cases. In doing so, we state a conjectural
    sufficient condition for the existence of a p-modular Hadamard matrix for all but
    finitely many cases. When 2 is a primitive root of a prime p, we conditionally
    solve this conjecture and therefore the p-modular version of the Hadamard conjecture
    for all but finitely many cases when p ≡ 3(mod 4), and prove a weaker result for
    p ≡ 1 (mod 4). Finally, we look at constraints on the existence of m-modular Hadamard
    matrices when the size of the matrix is small compared to m.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Vivian Zieve
      foaf_name: Kuperberg, Vivian Zieve
      foaf_surname: Kuperberg
      foaf_workInfoHomepage: http://www.librecat.org/personId=c3bac823-112d-11f0-a3f5-c264f852e697
  bibo_doi: 10.1002/jcd.21522
  bibo_issue: '9'
  bibo_volume: 24
  dct_date: 2016^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1063-8539
  - http://id.crossref.org/issn/1520-6610
  dct_language: eng
  dct_publisher: Wiley@
  dct_subject:
  - modular hadamard matrices
  - modular symmetric designs
  dct_title: Hadamard matrices modulo p and small modular Hadamard matrices@
...