期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (6)
In this paper, we first study in detail the relationship between minimal linear codes and cutting blocking sets, recently introduced by Bonini and Bor......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (7)
The quantum capacity of a noisy quantum channel determines the maximal rate at which we can code reliably over asymptotically many uses of the channel......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (8)
Permutation polynomials and their compositional inverses have wide applications in cryptography, coding theory, and combinatorial designs. Motivated b......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (9)
In this paper, we consider the list decoding property of codes under insertion and deletion errors (insdel for short). Firstly, we analyse the list de......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (6)
Symbol-pair codes were introduced by Cassuto and Blaum in 2010 to protect pair errors in symbol-pair read channels. Recently Yaakobi, Bruck and Siegel......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (6)
In this paper, we propose a systematic low density generator matrix (LDGM) code ensemble, which is defined by the Bernoulli process. We prove that, un......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (8)
The parameters of a q-ary MDS Euclidean self-dual codes are completely determined by its length and the construction of MDS Euclidean self-dual codes ......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (6)
2-to-1 mappings over finite fields play an important role in symmetric cryptography, particularly in the constructions of APN functions, bent function......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (6)
A pair of sequences is called a Z-complementary pair (ZCP) if it has zero aperiodic autocorrelation sums at each of the non-zero time-shifts within a ......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (7)
It is natural in a quantum network system that multiple users intend to send their quantum message to their respective receivers, which is called a mu......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (8)
The puncturing and shortening techniques are two important approaches to constructing new linear codes from old ones. In the past 70 years, a lot of p......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (8)
This paper studies an information-theoretic one-shot variable-length secret key agreement problem with public discussion. Let X and Y be jointly distr......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (5)
We introduce a fundamental lemma called the Poisson matching lemma, and apply it to prove one-shot achievability results for various settings, namely ......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (6)
We give the first systematic study on the second order asymptotics of the operational task of coherence distillation with and without assistance. In t......
期刊： IEEE TRANSACTIONS ON INFORMATION THEORY, 2021; 67 (7)
Extending previous results, we study a class of general quadrinomials over the field of size 2(2m) with odd m and characterize conditions under which ......
