Quasimagic rectangles

D. Froncek, K. Paramasivam, A. V. Prajeesh

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A quasimagic rectangle (Formula presented.) is an (Formula presented.) array with (Formula presented.) odd and (Formula presented.) even whose entries are (Formula presented.), each appearing exactly once, such that the sum of every row is equal to a constant (Formula presented.) and the sum of every column is equal to a constant (Formula presented.). In this article, we prove the existence of (Formula presented.) for all possible values of (Formula presented.) and (Formula presented.), when (Formula presented.). In addition, if (Formula presented.), we prove that the condition (Formula presented.) is necessary and sufficient for the existence of (Formula presented.).

Original languageEnglish (US)
Pages (from-to)193-202
Number of pages10
JournalJournal of Combinatorial Designs
Issue number3
StatePublished - Mar 2022

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