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Algebraic manipulation detection codes from algebraic curves
Algebraic manipulation detection codes from algebraic curves
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机译:来自代数曲线的代数操纵检测码
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摘要
A method for protecting encoded data from algebraic manipulation includes receiving a data word sεKd to be protected, randomly selecting two integers a ε{0, . . . , q−1} and b ε{0, . . . , √q−1}, finding a point (α, β) on a Hermitian curve over a field Fq that corresponds to the randomly selected integers (a, b) from a mapping (a, b)(α, β)=(ua, ua√q+1z+vb), where; ]]> and z is an element of the field Fq of unit trace, and where γ1 is a fixed primitive element of the field Fq and γ2 is a primitive element of a field F√q⊂Fq, and calculating a sum fs(α, β)=αid+1βjd+1+Σk=1dαikβkjk for a set of d+1 integers pairs I ={(ik,jk)}k=1d+1, where the encoded word is a triple (s, (α, β),fs(α, β)).
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机译:一种用于保护编码数据免受代数操纵的方法,该方法包括:接收要保护的数据字sεK d Sup>,随机选择两个整数aε{0,。 。 。 ,q−1}和bε{0,。 。 。 ,√q−1},在字段F q Sub>的Hermitian曲线上找到一个点(α,β),该点对应于映射(a,b)中随机选择的整数(a,b) )<图像alt =“自定义字符” file =“ US09425952-20160823-P00001.GIF” he =“ 2.79mm” id =“ CUSTOM-CHARACTER-00001” imgContent =“字符” imgFormat =“ GIF” wi =“ 3.56mm “ />(α,β)=(u a Sub>,u a Sub> √q+ 1 Sup> z + v b Sub >),在哪里; 展开▼