Results 11 to 20 of about 108,516 (281)
DNA Code from Cyclic and Skew Cyclic Codes over
Entropy, 2023 The main motivation of this work is to study and obtain some reversible and DNA codes of length n with better parameters. Here, we first investigate the structure of cyclic and skew cyclic codes over the chain ring R:=F4[v]/⟨v3⟩.
Om Prakash +4 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established ...
Castillo-Guillén C. A. +1 more
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DNA codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k-tuples of DNA codewords is established.
Castillo-Guillén C. A. +1 more
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On the code reverse engineering problem [PDF]
2008 IEEE International Symposium on Information Theory, 2008 — This article deals with the problem of quantifying how many noisy codewords have to be eavesdropped in order to reverse engineer a code. The main result of this paper is a lower bound on this quantity and the proof that this number is logarithmic in the length for LDPC codes.
Cluzeau, Mathieu, Tillich, Jean-Pierre
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Improving data embedding capacity into Base45 encoded strings
Engineering Reports, 2023 In the context of data hiding reversible embedding of information into printable string encoded data may provide a solution to store extra bits for various applications.
Marco Botta, Davide Cavagnino
doaj +1 more source
Reversible watermarking scheme with image-independent embedding capacity [PDF]
, 2005 Permanent distortion is one of the main drawbacks of all the irreversible watermarking schemes. Attempts to recover the original signal after the signal passing the authentication process are being made starting just a few years ago. Some common problems,
Alattar +9 more
core +1 more source
Polynomial-time T-depth Optimization of Clifford+T circuits via Matroid Partitioning [PDF]
, 2013 Most work in quantum circuit optimization has been performed in isolation from the results of quantum fault-tolerance. Here we present a polynomial-time algorithm for optimizing quantum circuits that takes the actual implementation of fault-tolerant ...
Amy, Matthew +2 more
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Explicit MDS Codes with Complementary Duals [PDF]
, 2017 In 1964, Massey introduced a class of codes with complementary duals which are called Linear Complimentary Dual (LCD for short) codes. He showed that LCD codes have applications in communication system, side-channel attack (SCA) and so on. LCD codes have
Beelen, Peter, Jin, Lingfei
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Reverse-free codes and permutations
Electronic Notes in Discrete Mathematics, 2011 Abstract Two codewords ( a 1 , … , a k ) and ( b 1 , … , b k ) form a reverse-free pair if ( a i , a j ) ≠ ( b j , b i ) holds whenever 1 ⩽ i j ⩽ k are indices such that a i ≠ a j . In a reverse-free code, each pair of codewords is reverse-free. The maximum size
Zoltán Füredi +3 more
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On the origin of the mitochondrial genetic code: Towards a unified mathematical framework for the management of genetic information [PDF]
, 2012 The origin of the genetic code represents one of the most challenging problems in molecular evolution. The genetic code is an important universal feature of extant organisms and indicates a common ancestry of different forms of life on earth.
Diego Luis Gonzalez +2 more
core +2 more sources