Results 41 to 50 of about 236,875 (314)
Linear transformations on codes
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David G. Glynn +2 more
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Code multiplexing using linear block codes [PDF]
This paper explores the application of code multiplexing using linear block codes in communication systems. Through a comprehensive analysis of contemporary literature on switching methods and signal modeling, the study investigates the principles of ...
Rabin Alexey +2 more
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Additive Codes From Linear Codes
We introduce two constructions of additive codes over finite fields. Both constructions start with a linear code over a field with $q$ elements and give additive codes over the field with $q^h$ elements whose minimum distance is demonstrably good.
Simeon Ball, Tabriz Popatia
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On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]
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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In an application, where a client wants to obtain many elements from a large database, it is often desirable to have some load balancing. Batch codes (introduced by Ishai et al. in STOC 2004) make it possible to do exactly that: the large database is divided between many servers, so that the client has to only make a small number of queries to every ...
Helger Lipmaa, Vitaly Skachek
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Linear codes from simplicial complexes
In this article we introduce a method of constructing binary linear codes and computing their weights by means of Boolean functions arising from mathematical objects called simplicial complexes.
장승환
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Low-complexity trellis decoding of linear block codes. [PDF]
The authors introduce a new simple encoding technique which allows the design of a wide variety of linear block codes. They present a number of examples in which the most widely used codes (Reed-Muller, Hamming, Golay, optimum etc.) have been designed ...
Markarian, G. S. +2 more
core
Stabilizer Codes and Quantum Error Correction [PDF]
Controlling operational errors and decoherence is one of the major challenges facing the field of quantum computation and other attempts to create specified many-particle entangled states.
Daniel Gottesman, Gottesman, Daniel Eric
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ABSTRACT Background Sickle cell disease (SCD) is a chronic, inherited hemoglobinopathy that requires frequent hospitalization for disease‐related complications. Canadian data on inpatient care is limited. This study compared caregiver‐reported hospital experiences of children with SCD to those with cystic fibrosis (CF), a chronic, autosomal recessive ...
Hailey M. Zwicker +11 more
wiley +1 more source
Non-Projective Two-Weight Codes
It has been known since the 1970’s that the difference of the non-zero weights of a projective Fq-linear two-weight code has to be a power of the characteristic of the underlying field.
Sascha Kurz
doaj +1 more source

