Journal of Symbolic ComputationVolume 47, Issue 4, April 2012, Pages 492-502All unitary perfect polynomials over F2 with at most four distinct irreducible factorsAuthor links open overlay panelLuis H. Gallardo, Olivier RahavandrainyShow moreShareCitehttps://doi.org/10.1016/j.jsc.2011.09.009Get rights and contentUnder an Elsevier user licenseopen archiveAbstractA polynomial A∈F2[x] is unitary perfect if and only if A=∑d∣A,gcd(d,A/d)=1d. We find all unitary perfect polynomials of the form P1a1P2a2P3a3P4a4 where P1,…,P4∈F2[x] are irreducible polynomials and a1,…,a4 are non-negative integers.Previous article in issueNext article in issueKeywordsSum of divisorsUnitary divisorsPolynomialsFinite fieldsCharacteristic 2Recommended articlesCited by (0)Copyright © 2011 Elsevier Ltd. All rights reserved.