Abstract
For each n, we consider whether there exists an (n + 1)-dimensional space of n by n matrices over GF(2) in which each nonzero matrix has rank n−1. Examples are given for n =3 ,4, and 5, together with evidence for the conjecture that none exist for n>8.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
