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 -