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Some effectivity questions for plane Cremona transformations in the context of symmetric key cryptography
Proceedings of the Edinburgh Mathematical Society ( IF 0.7 ) Pub Date : 2021-03-01 , DOI: 10.1017/s0013091520000231
N. I. Shepherd-Barron

An effective lower bound on the entropy of some explicit quadratic plane Cremona transformations is given. The motivation is that such transformations (Hénon maps, or Feistel ciphers) are used in symmetric key cryptography. Moreover, a hyperbolic plane Cremona transformation g is rigid, in the sense of [5], and under further explicit conditions some power of g is tight.

中文翻译:

对称密钥密码学背景下平面克雷莫纳变换的一些有效性问题

给出了一些显式二次平面克雷莫纳变换熵的有效下界。其动机是此类转换(Hénon 映射或 Feistel 密码)用于对称密钥加密。此外,双曲平面克雷莫纳变换G是刚性的,在 [5] 的意义上,并且在更明确的条件下,一些权力G很紧。
更新日期:2021-03-01
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