0000000001060721

AUTHOR

Carolin Hannusch

showing 2 related works from this author

Steiner Loops of Affine Type

2020

Steiner loops of affine type are associated to arbitrary Steiner triple systems. They behave to elementary abelian 3-groups as arbitrary Steiner Triple Systems behave to affine geometries over GF(3). We investigate algebraic and geometric properties of these loops often in connection to configurations. Steiner loops of affine type, as extensions of normal subloops by factor loops, are studied. We prove that the multiplication group of every Steiner loop of affine type with n elements is contained in the alternating group An and we give conditions for those loops having An as their multiplication groups (and hence for the loops being simple).

Steiner triple systems steiner loops of affine type multiplication groups of loops finite geometries commutative Moufang loop.Settore MAT/03 - Geometria
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Decoding algorithm for HL-codes and performance of the DHH-cryptosystem -- a candidate for post-quantum cryptography

2023

We give a decoding algorithm for a class of error-correcting codes, which can be used in the DHH-cryptosystem, which is a candidate for post-quantum cryptography, since it is of McEliece type. Furthermore, we implement the encryption and decryption algorithms for this cryptosystem and investigate its performance.

FOS: Computer and information sciencesComputer Science - Cryptography and SecurityComputer Science - Information TheoryInformation Theory (cs.IT)81P94 94A60 94B35Cryptography and Security (cs.CR)
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