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A unified approach to combinatorial key predistribution schemes for sensor networks [PDF]
, 2012 There have been numerous recent proposals for key predistribution schemes for wireless sensor networks based on various types of combinatorial structures such as designs and codes.
Paterson, Maura B. +3 more
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General Fractional Repetition Codes From Combinatorial Designs
IEEE Access, 2017 Fractional repetition codes are a class of distributed storage codes dedicated to optimize the node repair performance, i.e., they enable uncoded exact repairs with minimum bandwidth consumption.
Bing Zhu, Hui Li, Shuo-Yen Robert Li
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IET Communications, 2021 In clustered distributed storage systems (CDSSs), one of the main design goals is minimizing the transmission cost during the failed storage nodes repairing. Generalized regenerating codes (GRCs) are proposed to balance the intra‐cluster repair bandwidth
Shushi Gu +4 more
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Sliding-window dynamic frameproof codes [PDF]
, 2007 A sliding-window dynamic frameproof code is a scheme for discouraging the piracy of digital broadcasts through the use of digital fingerprinting. In this paper, we formally define sliding-window dynamic frameproof codes and provide optimal constructions ...
Paterson, Maura, Paterson, Maura B.
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Isometry groups of combinatorial codes [PDF]
Electronic Notes in Discrete Mathematics, 2017 Two isometry groups of combinatorial codes are described: the group of isometries, that is, the group of Hamming isometries from a code to itself and the group of monomial isometries, which is the group of those isometries of a code to itself that extend to monomial maps.
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The combinatorics of combinatorial coding by a real [PDF]
Journal of Symbolic Logic, 1995 AbstractWe lay the combinatorial foundations for [5] by setting up and proving the essential properties of the coding apparatus for singular cardinals. We also prove another result concerning the coding apparatus for inaccessible cardinals.
Saharon Shelah, Lee J. Stanley
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A Combinatorial Approach to Flag Codes
CoRR, 2021 In network coding, a flag code is a collection of flags, that is, sequences of nested subspaces of a vector space over a finite field. Due to its definition as the sum of the corresponding subspace distances, the flag distance parameter encloses a hidden combinatorial structure.
Clementa Alonso-González +1 more
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Specification of neuronal identities by feedforward combinatorial coding.
PLoS Biology, 2007 Neuronal specification is often seen as a multistep process: earlier regulators confer broad neuronal identity and are followed by combinatorial codes specifying neuronal properties unique to specific subtypes.
Magnus Baumgardt +4 more
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Research on Universal Combinatorial Coding [PDF]
The Scientific World Journal, 2014 The conception of universal combinatorial coding is proposed. Relations exist more or less in many coding methods. It means that a kind of universal coding method is objectively existent. It can be a bridge connecting many coding methods. Universal combinatorial coding is lossless and it is based on the combinatorics theory.
Jun Lu, Zhuo Zhang, Juan Mo
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On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]
, 2005 Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
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