[图书][B] Concise encyclopedia of coding theory
Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …
On the classification and enumeration of self-dual codes
WC Huffman - Finite Fields and Their Applications, 2005 - Elsevier
This article is a survey of the current status of the classification and enumeration of self-dual
linear codes of small to moderate lengths over the fields F2, F3, and F4 and the rings Z4 …
linear codes of small to moderate lengths over the fields F2, F3, and F4 and the rings Z4 …
Infinite Families of Near MDS Codes Holding t-Designs
C Ding, C Tang - IEEE Transactions on Information Theory, 2020 - ieeexplore.ieee.org
An [n, k, n-k+ 1] linear code is called an MDS code. An [n, k, nk] linear code is said to be
almost maximum distance separable (almost MDS or AMDS for short). A code is said to be …
almost maximum distance separable (almost MDS or AMDS for short). A code is said to be …
An infinite family of linear codes supporting 4-designs
C Tang, C Ding - IEEE Transactions on Information Theory, 2020 - ieeexplore.ieee.org
The question as to whether there exists an infinite family of near MDS codes holding an
infinite family of t-designs for t≥ 2 was answered in the recent paper [Infinite families of near …
infinite family of t-designs for t≥ 2 was answered in the recent paper [Infinite families of near …
Johnson type bounds on constant dimension codes
ST Xia, FW Fu - Designs, Codes and Cryptography, 2009 - Springer
Very recently, an operator channel was defined by Koetter and Kschischang when they
studied random network coding. They also introduced constant dimension codes and …
studied random network coding. They also introduced constant dimension codes and …
Codes, Differentially -Uniform Functions, and -Designs
Boolean functions, coding theory and t-designs have close connections and interesting
interplay. A standard approach to constructing t-designs is the use of linear codes with …
interplay. A standard approach to constructing t-designs is the use of linear codes with …
[HTML][HTML] Infinite families of 2-designs and 3-designs from linear codes
C Ding, C Li - Discrete Mathematics, 2017 - Elsevier
The interplay between coding theory and t-designs started many years ago. While every t-
design yields a linear code over every finite field, the largest t for which an infinite family of t …
design yields a linear code over every finite field, the largest t for which an infinite family of t …
Infinite families of 3-designs and 2-designs from almost MDS codes
G Xu, X Cao, L Qu - IEEE Transactions on Information Theory, 2022 - ieeexplore.ieee.org
Combinatorial designs are closely related to linear codes. Recently, some near MDS codes
were employed to construct-designs by Ding and Tang, which settles the question as to …
were employed to construct-designs by Ding and Tang, which settles the question as to …
On infinite families of narrow-sense antiprimitive BCH codes admitting 3-transitive automorphism groups and their consequences
Q Liu, C Ding, S Mesnager, C Tang… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The Bose-Chaudhuri-Hocquenghem (BCH) codes are a well-studied subclass of cyclic
codes that have found numerous applications in error correction and notably in quantum …
codes that have found numerous applications in error correction and notably in quantum …
Infinite families of 3-designs from a type of five-weight code
C Ding - Designs, Codes and Cryptography, 2018 - Springer
It has been known for a long time that t-designs can be employed to construct both linear
and nonlinear codes and that the codewords of a fixed weight in a code may hold at-design …
and nonlinear codes and that the codewords of a fixed weight in a code may hold at-design …