Search Results - "Ezerman, Martianus Frederic"
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Three New Constructions of Optimal Locally Repairable Codes from Matrix-Product Codes
Published in IEEE transactions on information theory (01-01-2023)“…Locally repairable codes have become a key instrument in large-scale distributed storage systems. This paper focuses on the construction of locally repairable…”
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Journal Article -
2
On Linear Codes Whose Hermitian Hulls are MDS
Published in IEEE transactions on information theory (01-07-2024)“…Hermitian hulls of linear codes are interesting for theoretical and practical reasons alike. In terms of recent application, linear codes whose hulls meet…”
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Journal Article -
3
On the Weights of Linear Codes With Prescribed Automorphisms
Published in IEEE transactions on information theory (01-07-2024)“…The number of nonzero weights of a linear code is essential in coding theory as it unveils salient properties of the code, such as its covering radius. In this…”
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Journal Article -
4
Improved Spectral Bound for Quasi-Cyclic Codes
Published in IEEE transactions on information theory (01-06-2024)“…Spectral bounds form a powerful tool to estimate the minimum distances of quasi-cyclic codes. They generalize the defining set bounds of cyclic codes to those…”
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5
A Construction of Maximum Distance Profile Convolutional Codes with Small Alphabet Sizes
Published in IEEE transactions on information theory (01-05-2023)“…Convolutional codes are essential in a wide range of practical applications due to their efficient non-algebraic decoding algorithms. In this paper, we first…”
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6
Provably Secure Group Signature Schemes From Code-Based Assumptions
Published in IEEE transactions on information theory (01-09-2020)“…We solve an open question in code-based cryptography by introducing two provably secure group signature schemes from code-based assumptions. Our basic scheme…”
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Journal Article -
7
New Families of MDS Symbol-Pair Codes From Matrix-Product Codes
Published in IEEE transactions on information theory (01-03-2023)“…In emerging storage technologies, the outputs of the channels consist of overlapping pairs of symbols. The errors are no longer individual symbols. Controlling…”
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Journal Article -
8
A Comparison of Distance Bounds for Quasi-Twisted Codes
Published in IEEE transactions on information theory (01-10-2021)“…Spectral bounds on the minimum distance of quasi-twisted codes over finite fields are proposed, based on eigenvalues of polynomial matrices and the…”
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Journal Article -
9
Rates of DNA Sequence Profiles for Practical Values of Read Lengths
Published in IEEE transactions on information theory (01-11-2017)“…A recent study by one of the authors has demonstrated the importance of profile vectors in DNA-based data storage. We provide exact values and lower bounds on…”
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10
On binary de Bruijn sequences from LFSRs with arbitrary characteristic polynomials
Published in Designs, codes, and cryptography (15-05-2019)“…We propose a construction of de Bruijn sequences by the cycle joining method from linear feedback shift registers (LFSRs) with arbitrary characteristic…”
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11
CSS-Like Constructions of Asymmetric Quantum Codes
Published in IEEE transactions on information theory (01-10-2013)“…Asymmetric quantum error-correcting codes (AQCs) may offer some advantage over their symmetric counterparts by providing better error-correction for the more…”
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Journal Article -
12
The Weights in MDS Codes
Published in IEEE transactions on information theory (01-01-2011)“…The weights in maximum distance separable (MDS) codes of length n and dimension k over the finite field GF(q) are studied. Up to some explicit exceptional…”
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13
Additive Asymmetric Quantum Codes
Published in IEEE transactions on information theory (01-08-2011)“…We present a general construction of asymmetric quantum codes based on additive codes under the trace Hermitian inner product. Various families of additive…”
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Journal Article -
14
A New Approach to Determine the Minimal Polynomials of Binary Modified de Bruijn Sequences
Published in Mathematics (Basel) (01-08-2022)“…A binary modified de Bruijn sequence is an infinite and periodic binary sequence derived by removing a zero from the longest run of zeros in a binary de Bruijn…”
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15
Construction of de Bruijn sequences from product of two irreducible polynomials
Published in Cryptography and communications (01-03-2018)“…We study a class of Linear Feedback Shift Registers (LFSRs) with characteristic polynomial f ( x ) = p ( x ) q ( x ) where p ( x ) and q ( x ) are distinct…”
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16
The cycle structure of LFSR with arbitrary characteristic polynomial over finite fields
Published in Cryptography and communications (01-11-2018)“…We determine the cycle structure of linear feedback shift register with arbitrary monic characteristic polynomial over any finite field. For each cycle, a…”
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17
Convergence of Non-Convex Non-Concave GANs Using Sinkhorn Divergence
Published in IEEE access (2021)“…Sinkhorn divergence is a symmetric normalization of entropic regularized optimal transport. It is a smooth and continuous metrized weak-convergence with…”
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18
Learning GANs in Simultaneous Game Using Sinkhorn With Positive Features
Published in IEEE access (2021)“…Entropy regularized optimal transport (EOT) distance and its symmetric normalization, known as the Sinkhorn divergence, offer smooth and continuous metrized…”
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Journal Article -
19
On Propagation Rules for Entanglement-Assisted Quantum Codes
Published in 2023 12th International Symposium on Topics in Coding (ISTC) (04-09-2023)“…This paper proposes new propagation rules on quantum codes in the entanglement-assisted scenario. The rules lead to new families of such quantum codes whose…”
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Conference Proceeding -
20
Four New Families of Quantum Stabilizer Codes from Hermitian Self-Orthogonal MDS codes
Published in 2023 12th International Symposium on Topics in Coding (ISTC) (04-09-2023)“…We construct codes from rational function fields and provide sufficient conditions for a rational algebraic geometry code to be Hermitian self-orthogonal. A…”
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Conference Proceeding