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UID:4u83o4rnsc2ug9kulbaao9jic3@google.com
CATEGORIES:{lang hu}Algebra szeminárium{/lang}{lang en}Algebra seminar{/lang}
SUMMARY:Carolin Hannusch (University of Debrecen): On some classes of binary error-correcting codes, their features and their applications in cryptography
LOCATION:Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. We will construct some new classes of binary codes, which were in
troduced in [1], [2] and [3]. After introducing the constructions of these
codes in modular group algebras we will talk about their features and possi
ble applications in cryptographic systems. Some results mentioned in this t
alk were achieved in joint work with Piroska Lakatos and some results menti
oned in this talk were achieved in joint work with Pál Dömösi and Géza Horv
áth.\n\nBibliography\n\n[1] Hannusch, C.: On monomial codes in modular grou
p algebras, Discrete Mathematics Vol 350 No. 5, 957-962 (2017).\n[2] Hannus
ch, C., and Lakatos, P.: Construction of self-dual radical 2-codes of given
distance, Discrete Mathematics, Algorithms and Applications 4, 1250052 (20
12).\n[3] Hannusch, C., and Lakatos, P.: Construction of self-dual binary (
2^{2k}, 2^{2k−1} , 2^k)-codes, Algebra and Discrete Mathematics Vol.21 Nr.1
, pp.59-68 (2016).\n[4] Dömösi, P., Hannusch, C., Horváth, G.: A McEliece c
ryptosystem based on a new class of binary error-correcting codes, in prepa
ration.
DTSTAMP:20220123T235239Z
DTSTART;TZID=Europe/Budapest:20180516T100000
DTEND;TZID=Europe/Budapest:20180516T120000
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