A family of Alltop Functions that are EA-Inequivalent to the Cubic Function

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189063" target="_blank" >RIV/00216208:11320/13:10189063 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A family of Alltop Functions that are EA-Inequivalent to the Cubic Function

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

IEEE Transactions on Communications

ISSN

0090-6778

e-ISSN

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Volume of the periodical

61

Issue of the periodical within the volume

11

Country of publishing house

US - UNITED STATES

Number of pages

6

Pages from-to

4722-4727

UT code for WoS article

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EID of the result in the Scopus database

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