5 papers
Decoding algorithm for HL-codes and performance of the DHH-cryptosystem -- a candidate for post-quantum cryptography
Carolin Hannusch, Giuseppe Filippone
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 Mc…
The search of Type I codes
Carolin Hannusch, Roland S. Major
A self-dual binary linear code is called Type I code if it has singly-even codewords, i.e.~it has codewords with weight divisible by The purpose of this paper is to investigat…
Rotation on the digital plane
Carolin Hannusch, Attila Pethő
Let denote the matrix of rotation with angle of the Euclidean plane, FLOOR the function, which rounds a real point to the nearest lattice point down on the left and ROUND…
Explicit bases of the Riemann-Roch spaces on divisors on hyperelliptic curves
Giovanni Falcone, Ágota Figula, Carolin Hannusch
For an (imaginary) hyperelliptic curve of genus , we determine a basis of the Riemann-Roch space , where is a divisor with positive degree ,…
On the number of even latin squares of even order
Carolin Hannusch
We recall the Alon-Tarsi conjecture on the number of even latin squares. We introduce a map which switches the parity of a latin square under certain requirements. An example is in…