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03/30/2023
Lengths of divisible codes with restricted column multiplicities
We determine the minimum possible column multiplicity of even, doubly-, ...
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11/30/2022
Capacity of generalized diamond networks
We consider the problem of error correction in a network where the error...
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12/22/2021
The Art and Beauty of Voting Power
We exhibit the hidden beauty of weighted voting and voting power by appl...
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12/22/2021
Construction and bounds for subspace codes
Subspace codes are the q-analog of binary block codes in the Hamming met...
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12/22/2021
Divisible Codes
A linear code over 𝔽_q with the Hamming metric is called Δ-divisible if ...
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12/01/2021
A note on simple games with two equivalence classes of players
Many real-world voting systems consist of voters that occur in just two ...
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09/15/2021
The interplay of different metrics for the construction of constant dimension codes
A basic problem for constant dimension codes is to determine the maximum...
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08/10/2021
Classification of 3 mod 5 arcs in PG(3,5)
The proof of the non-existence of Griesmer [104, 4, 82]_5-codes is just ...
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07/22/2021
The Public Good index for games with several levels of approval in the input and output
The Public Good index is a power index for simple games introduced by Ho...
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12/11/2020
Classification of 8-divisible binary linear codes with minimum distance 24
We classify 8-divisible binary linear codes with minimum distance 24 and...
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11/13/2020
Bounds for the multilevel construction
One of the main problems in random network coding is to compute good low...
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10/23/2020
Efficient Storage Schemes for Desired Service Rate Regions
A major concern in cloud/edge storage systems is serving a large number ...
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10/21/2020
On the maximum number of minimal codewords
Minimal codewords have applications in decoding linear codes and in cryp...
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06/18/2020
No projective 16-divisible binary linear code of length 131 exists
We show that no projective 16-divisible binary linear code of length 131...
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06/09/2020
Are weighted games sufficiently good for binary voting?
Binary yes-no decisions in a legislative committee or a shareholder meet...
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06/09/2020
A note on the growth of the dimension in complete simple games
The remoteness from a simple game to a weighted game can be measured by ...
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04/29/2020
Lifted codes and the multilevel construction for constant dimension codes
Constant dimension codes are e.g. used for error correction and detectio...
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02/18/2020
Computer classification of linear codes
We present algorithms for classification of linear codes over finite fie...
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01/28/2020
Axiomatizations for the Shapley-Shubik power index for games with several levels of approval in the input and output
The Shapley-Shubik index is a specialization of the Shapley value and is...
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01/24/2020
A Geometric View of the Service Rates of Codes Problem and its Application to the Service Rate of the First Order Reed-Muller Codes
Service rate is an important, recently introduced, performance metric as...
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01/10/2020
PIR Codes with Short Block Length
In this work private information retrieval (PIR) codes are studied. In a...
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12/21/2019
Influence in Weighted Committees
A committee's decisions on more than two alternatives much depend on the...
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12/19/2019
LinCode – computer classification of linear codes
We present an algorithm for the classification of linear codes over fini...
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11/08/2019
Combining subspace codes
In the context of constant–dimension subspace codes, an important proble...
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09/13/2019
Subspace Packings – Constructions and Bounds
The Grassmannian G_q(n,k) is the set of all k-dimensional subspaces of t...
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07/05/2019
Subspaces intersecting in at most a point
We improve on the lower bound of the maximum number of planes in PG(8,q)...
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07/02/2019
An Axiomatization of the Shapley-Shubik Index for Interval Decisions
The Shapley-Shubik index was designed to evaluate the power distribution...
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06/24/2019
A note on the linkage construction for constant dimension codes
Constant dimension codes are used for error control in random linear net...
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06/06/2019
The [46,9,20]_2 code is unique
The minimum distance of all binary linear codes with dimension at most e...
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12/14/2018
The lengths of projective triply-even binary codes
It is shown that there does not exist a binary projective triply-even co...
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12/14/2018
Which criteria qualify power indices for applications? -- A comment to "The story of the poor Public Good index"
We discuss possible criteria that may qualify or disqualify power indice...
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11/12/2018
Subspace Packings
The Grassmannian G_q(n,k) is the set of all k-dimensional subspaces of ...
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10/20/2018
Simple Games versus Weighted Voting Games: Bounding the Critical Threshold Value
A simple game (N,v) is given by a set N of n players and a partition of ...
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08/09/2018
A note on limit results for the Penrose-Banzhaf index
It is well known that the Penrose-Banzhaf index of a weighted game can d...
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08/08/2018
Bounds for the diameter of the weight polytope
A weighted game or a threshold function in general admits different weig...
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08/08/2018
The roll call interpretation of the Shapley value
The Shapley value is commonly illustrated by roll call votes in which pl...
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05/06/2018
Simple Games versus Weighted Voting Games
A simple game (N,v) is given by a set N of n players and a partition of ...
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04/06/2018
Binary Subspace Codes in Small Ambient Spaces
Codes in finite projective spaces equipped with the subspace distance ha...
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03/13/2018
The power of the largest player
Decisions in a shareholder meeting or a legislative committee are often ...
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03/12/2018
Influence in systems with convex decisions
Given a system where the real-valued states of the agents are aggregated...
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02/01/2018
Approximating power by weights
Determining the power distribution of the members of a shareholder meeti...
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12/08/2017