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OBTAINING KEYS FROM BROADCASTERS IN SUPERSINGULAR ISOGENY-BASED CRYPTOSYSTEMS
OBTAINING KEYS FROM BROADCASTERS IN SUPERSINGULAR ISOGENY-BASED CRYPTOSYSTEMS
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机译:从基于超子遗传学的密码系统中获取广播公司的钥匙
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摘要
In some aspects, a key establishment protocol is executed to generate a shared secret. A first entity calculates a first image curve EArepresenting an image of an elliptic curve E under a first isogeny ΦA; calculates a first pair of elliptic curve points {ΦA(PB),ΦA(QB)}; calculates secret integers {c, d}; sends the first image curve EA and the first pair of elliptic curve points {ΦA(PB),ΦA(QB)} to a second entity; receives a second image curve EABand a third pair of elliptic curve points {ψB(R), ψB(S)} from the second entity; calculates a third image curve EÃBA representing an image of the second image curve EBA under a second isogeny Φ̃A, wherein the second isogeny Φ̃A is identified based on the secret integers {c, d} and the third pair of elliptic curve points {ψB(R), ψB(S)}; and calculates the shared secret based on the third image curve EÃBA.展开▼
机译:在某些方面,执行密钥建立协议以生成共享密钥。第一实体计算第一图像曲线 e i> a i> sub>表示第一是第一个是第一个是椭圆曲线的图像 e i>的图像φ i> a i> sub> ; i>计算第一对椭圆曲线点{φ i> a i> sub>( p i> b sum>),φ a sub>(< i> q i> b i> sub>)};计算秘密整数{ c,d i>};发送第一图像曲线 e i> a i> sub>和第一对椭圆曲线点{φ i> a i> sub>( p i> b sum>),φ a sub>( q i> b i> sub>)}到第二个实体;接收第二图像曲线 e i> ab i> sub>和第三对椭圆曲线点{ψ i> B i> sub>( r i>),ψ i> b i> sub>( s < / i>)}从第二个实体;计算第三图像曲线 e i> Ãba sub>表示第二图像曲线 e i> 的图像Ba i> sub>在第二个是Isogeny φ i> a i> sub>,其中第二个是Isogeny φ i> <基于秘密整数{ c,d i>}和第三对椭圆曲线点{ψ i>来识别子> sum> b su>( r i>),ψ i> b i> sub>( s i>)};基于第三图像曲线 e i> ãba来计算共享秘密。 i> sub>
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