"RIV/00216208:11320/13:10189063" . "11" . "Function; Cubic; EA-Inequivalent; are; that; Functions; Alltop; family"@en . "RIV/00216208:11320/13:10189063!RIV14-MSM-11320___" . . "11320" . . . . "Gagola III, Stephen Michael" . . "Rao, Asha" . "Hall, Joanne" . "A family of Alltop Functions that are EA-Inequivalent to the Cubic Function"@en . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "2"^^ . . . . "Let F be a field. A transformation f of F is called planar if f(a+x) - f(x) is a permutation of F for every nonzero a. The transformation f is called an Alltop function (or a planar difference function) if f(a+x) -f(x) is planar for every nonzero a.The paper describes a new family of Alltop functions on fields of order that is a (2r)th power of a prime p, p at least 5,where 3 does not divide q+1, where q is the rth power of p."@en . . . "IEEE Transactions on Communications" . "58601" . "0090-6778" . "A family of Alltop Functions that are EA-Inequivalent to the Cubic Function" . "3"^^ . . . . "Let F be a field. A transformation f of F is called planar if f(a+x) - f(x) is a permutation of F for every nonzero a. The transformation f is called an Alltop function (or a planar difference function) if f(a+x) -f(x) is planar for every nonzero a.The paper describes a new family of Alltop functions on fields of order that is a (2r)th power of a prime p, p at least 5,where 3 does not divide q+1, where q is the rth power of p." . "I" . "6"^^ . "Hall, Joanne" . "[44F9D6C65F35]" . . . "Gagola III, Stephen Michael" . "A family of Alltop Functions that are EA-Inequivalent to the Cubic Function"@en . . . "A family of Alltop Functions that are EA-Inequivalent to the Cubic Function" . "61" . . .