TY - JOUR

T1 - Some effectivity questions for plane Cremona transformations in the context of symmetric key cryptography

AU - Shepherd-Barron, N. I.

N1 - Publisher Copyright:
Copyright © The Authors, 2021. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/3/1

Y1 - 2021/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85102076497&partnerID=8YFLogxK

U2 - 10.1017/S0013091520000231

DO - 10.1017/S0013091520000231

M3 - Article

AN - SCOPUS:85102076497

SN - 0013-0915

VL - 64

SP - 1

EP - 28

JO - Proceedings Of The Edinburgh Mathematical Society

JF - Proceedings Of The Edinburgh Mathematical Society

IS - 1

M1 - PEMS18111

ER -