This paper presents a construction of a pair of quasi-cyclic low-density parity-check codes as ingredients of a CSS code. Our method of designing a parity-check matrix of a LDPC code does not rely on using a computer search. Furthermore, one of advantages of our method is a guarantee to obtain a good property for a parameter ``girth'', which affects performance of an LDPC code
International audienceFinding good quantum low density parity check (LDPC) codes is an essential ste...
International audienceQuantum low-density parity-check (LDPC) codes are stabilizer codes in which e...
Quantum technology is becoming increasingly popular, and big companies are starting to invest huge a...
We propose a new CSS code based on the finite geometry low density parity check code of Kou, Lin, an...
Quantum error-correcting codes (QECCs) will be the ultimate enabler of future quantum computing and ...
In this paper, we propose how to construct a pair of linear codes simply for the BB84 quantum key di...
Low density Parity Check (LDPC) Codes are asymptotically good codes with a fast decoding algorithm, ...
The proof of Proposition VI.2 was inaccurate. This issue is addressed in the present version.Interna...
The proof of Proposition VI.2 was inaccurate. This issue is addressed in the present version.Interna...
The proof of Proposition VI.2 was inaccurate. This issue is addressed in the present version.Interna...
In this paper, we investigate the cycle properties of quasi-cyclic low-density parity-check (QC-LDPC...
In this paper, we investigate the cycle properties of quasi-cyclic low-density parity-check (QC-LDPC...
MasterThe objective of this thesis is to develop schemes to construct algebraically structured low-d...
Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Pers...
Quantum information is a developping field of study with various applications (in cryptography, fast...
International audienceFinding good quantum low density parity check (LDPC) codes is an essential ste...
International audienceQuantum low-density parity-check (LDPC) codes are stabilizer codes in which e...
Quantum technology is becoming increasingly popular, and big companies are starting to invest huge a...
We propose a new CSS code based on the finite geometry low density parity check code of Kou, Lin, an...
Quantum error-correcting codes (QECCs) will be the ultimate enabler of future quantum computing and ...
In this paper, we propose how to construct a pair of linear codes simply for the BB84 quantum key di...
Low density Parity Check (LDPC) Codes are asymptotically good codes with a fast decoding algorithm, ...
The proof of Proposition VI.2 was inaccurate. This issue is addressed in the present version.Interna...
The proof of Proposition VI.2 was inaccurate. This issue is addressed in the present version.Interna...
The proof of Proposition VI.2 was inaccurate. This issue is addressed in the present version.Interna...
In this paper, we investigate the cycle properties of quasi-cyclic low-density parity-check (QC-LDPC...
In this paper, we investigate the cycle properties of quasi-cyclic low-density parity-check (QC-LDPC...
MasterThe objective of this thesis is to develop schemes to construct algebraically structured low-d...
Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Pers...
Quantum information is a developping field of study with various applications (in cryptography, fast...
International audienceFinding good quantum low density parity check (LDPC) codes is an essential ste...
International audienceQuantum low-density parity-check (LDPC) codes are stabilizer codes in which e...
Quantum technology is becoming increasingly popular, and big companies are starting to invest huge a...