Decoding the Tensor Product of MLD Codes and Applications for Code Cryptosystems
نویسندگان
چکیده
منابع مشابه
Code-Based Cryptosystems Using Generalized Concatenated Codes
Public-key cryptosystems nowadays are mostly based on number theoretic problems like factorization (RSA) and the discrete logarithm problem (Elgamal). However, such systems can be broken with quantum computers by applying Shor’s algorithms [1] for solving both problems, factorization and discrete logarithm, in polynomial time. Hence there is a need for post-quantum cryptography, i.e., methods r...
متن کاملQuantum Tensor Product Codes
Jihao Fan, ∗ Yonghui Li, † Min-Hsiu Hsieh, ‡ and Hanwu Chen 4, § School of Computer Science and Engineering, Southeast University, Nanjing, Jiangsu 211189, China School of Electrical and Information Engineering, University of Sydney, Sydney, NSW 2006, Australia Centre for Quantum Computation and Intelligent Systems, Faculty of Engineering and Information Technology, University of Technology Syd...
متن کاملTwisted tensor product codes
We present two families of constacyclic linear codes with large automorphism groups. The codes are obtained from the twisted tensor product construction. AMS subject classification: 05E20, 05B25, 11T71, 94B25, 94B27, 51E22, 51E20, 20G40, 14L35
متن کاملDecoding of Matrix-Product Codes
We propose a decoding algorithm for the (u | u+ v)-construction that decodes up to half of the minimum distance of the linear code. We extend this algorithm for a class of matrix-product codes in two different ways. In some cases, one can decode beyond the error correction capability of the code.
متن کاملIterative Decoding of Product Code
Product codes based on binary block codes are considered. The aim is to use simple block codes as component codes in the constructions. Then, by using interleaving, large codes can be obtained. The fundamental aim of the interleaving is to obtain codes with a structure that is suitable for iterative decoding. We present interleaving strategies for iterative (turbo) decoding of block codes. A si...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Automatic Control and Computer Sciences
سال: 2018
ISSN: 0146-4116,1558-108X
DOI: 10.3103/s0146411618070064