On the dimension of the space of magic squares over a field

Xiang Dong Hou, Ana G. Lecuona, Gary L. Mullen, James A. Sellers

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We study various spaces of magic squares over a field, and determine their dimensions. These results generalize the main result of Small from 1988.

Original languageEnglish (US)
Pages (from-to)3463-3475
Number of pages13
JournalLinear Algebra and Its Applications
Issue number8
StatePublished - 2013
Externally publishedYes

Bibliographical note

Funding Information:
Corresponding author. E-mail addresses: xhou@usf.edu (X.-d. Hou), ana.lecuona@latp.univ-mrs.fr (A.G. Lecuona), mullen@math.psu.edu (G.L. Mullen), sellersj@psu.edu, sellersj@math.psu.edu (J.A. Sellers). 1 Ana G. Lecuona’s work is partially supported by the Spanish GEOR MTM2011-22435.


  • Latin squares
  • Magic squares
  • Vector spaces


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