All exceptional groups of lie type have minimal logarithmic signatures
Applicable Algebra in Engineering, Communication and Computing, 2014•Springer
As a special type of factorization of finite groups, logarithmic signature (LS) is used as the
main component of cryptographic keys for secret key cryptosystems such as PGM and public
key cryptosystems like MST_1, MST_2 MST 1, MST 2 and MST_3 MST 3. An LS with the
shortest length is called a minimal logarithmic signature (MLS) that is highly favourable to be
used for cryptographic constructions. The MLS conjecture states that every finite simple
group has an MLS. Recently, Nikhil Singhi et al. proved the MLS conjecture to be true for …
main component of cryptographic keys for secret key cryptosystems such as PGM and public
key cryptosystems like MST_1, MST_2 MST 1, MST 2 and MST_3 MST 3. An LS with the
shortest length is called a minimal logarithmic signature (MLS) that is highly favourable to be
used for cryptographic constructions. The MLS conjecture states that every finite simple
group has an MLS. Recently, Nikhil Singhi et al. proved the MLS conjecture to be true for …
Abstract
As a special type of factorization of finite groups, logarithmic signature (LS) is used as the main component of cryptographic keys for secret key cryptosystems such as PGM and public key cryptosystems like and . An LS with the shortest length is called a minimal logarithmic signature (MLS) that is highly favourable to be used for cryptographic constructions. The MLS conjecture states that every finite simple group has an MLS. Recently, Nikhil Singhi et al. proved the MLS conjecture to be true for some families of simple groups. In this paper, we firstly prove the existence of MLSs for the exceptional groups of Lie type.
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