In this paper, we propose to generalize the coding schemes first proposed by Kozic &al to high spectral efficient modulation schemes. We study at first Chaos Coded Modulation based on the use of small ...In this paper, we propose to generalize the coding schemes first proposed by Kozic &al to high spectral efficient modulation schemes. We study at first Chaos Coded Modulation based on the use of small dimensional modulo-MAP encoding process and we give a solution to study the distance spectrum of such coding schemes to accurately predict their performances. However, the obtained performances are quite poor. To improve them, we use then a high dimensional modulo-MAP mapping process similar to the low-density generator-matrix codes (LDGM) introduced by Kozic &al. The main difference with their work is that we use an encoding and decoding process on GF (2m) which enables to obtain better performances while preserving a quite simple decoding algorithm when we use the Extended Min-Sum (EMS) algorithm of Declercq &Fossorier.展开更多
McEliece cryptosystem is a public key cryptosystem that combines channel coding and encryption,and the oldest PKC that is conjectured to be postquantum secure.To decrease the key size of the original scheme,alternativ...McEliece cryptosystem is a public key cryptosystem that combines channel coding and encryption,and the oldest PKC that is conjectured to be postquantum secure.To decrease the key size of the original scheme,alternative codes have been adopted to replace Goppa codes.In this paper,we propose a ring signature using low-density generator-matrix codes.Our new scheme satisfies anonymity and existential unforgeability under chosen message attacks(EUFCMA).As for efficiency,the number of decoding operations has been reduced largely compared with ZLC ring signature,and the size of the public key is about 0.2%of the ZLC展开更多
文摘In this paper, we propose to generalize the coding schemes first proposed by Kozic &al to high spectral efficient modulation schemes. We study at first Chaos Coded Modulation based on the use of small dimensional modulo-MAP encoding process and we give a solution to study the distance spectrum of such coding schemes to accurately predict their performances. However, the obtained performances are quite poor. To improve them, we use then a high dimensional modulo-MAP mapping process similar to the low-density generator-matrix codes (LDGM) introduced by Kozic &al. The main difference with their work is that we use an encoding and decoding process on GF (2m) which enables to obtain better performances while preserving a quite simple decoding algorithm when we use the Extended Min-Sum (EMS) algorithm of Declercq &Fossorier.
文摘McEliece cryptosystem is a public key cryptosystem that combines channel coding and encryption,and the oldest PKC that is conjectured to be postquantum secure.To decrease the key size of the original scheme,alternative codes have been adopted to replace Goppa codes.In this paper,we propose a ring signature using low-density generator-matrix codes.Our new scheme satisfies anonymity and existential unforgeability under chosen message attacks(EUFCMA).As for efficiency,the number of decoding operations has been reduced largely compared with ZLC ring signature,and the size of the public key is about 0.2%of the ZLC
