Generality of the concatenated five-qubit code

Concatenated codes with fixed inner code and random outer code

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...

Revisiting a High-Performance Serially-Concatenated Code

This paper aims to verify the performance of a serially concatenated code proposed by Stephan ten Brink [1]. The code combines an outer rate one-half repetition code with an inner rate one convolutional code, separated by a permuter. The code is claimed to reach a bit error rate under 10 by 0.28 dB.

A variant of list plus CRC concatenated polar code

A new family of codes based on polar codes, soft concatenation and list+CRC decoding is proposed. Numerical experiments show the performance competitive with industry standards and Tal, Vardy approach.

Experimental implementation of a concatenated quantum error-correcting code.

Concatenated coding provides a general strategy to achieve the desired level of noise protection in quantum information processing. We report the implementation of a concatenated quantum error-correcting code able to correct phase errors with a strong correlated component. The experiment was performed using liquid-state nuclear magnetic resonance techniques on a four spin subsystem of labeled c...