Results 21 to 30 of about 236,875 (314)
On Weight Spectrum of Linear Codes [PDF]
2021 XVII International Symposium "Problems of Redundancy in Information and Control Systems" (REDUNDANCY), 2021 We study sequences of linear or affine codes with uniform weight spectrum, i.e., a part of codewords with any fixed weight tends to zero. It is proved that a sequence of linear codes has a uniform weight spectrum if the number of vectors from codes with weight $1$ grows to infinity.
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Linear Codes over Finite Rings
Trends in Computational and Applied Mathematics, 2005 In this paper we present a construction technique of cyclic, BCH, alternat, Goppa and Srivastava codes over a local finite commutative rings with identity.
A.A. de Andrade, R. Palazzo Jr.
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On the Trifference Problem for Linear Codes
IEEE Transactions on Information Theory, 2022 We prove that perfect $3$-hash linear codes in $\mathbb{F}_{3}^{n}$ must have dimension at most $ \left(\frac{1}{4}-ε\right)n$ for some absolute constant $ε> 0$.
Cosmin Pohoata, Dmitriy Zakharov
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New Soft Set Based Class of Linear Algebraic Codes [PDF]
, 2018 In this paper, we design and develop a new class of linear algebraic codes defined as soft linear algebraic codes using soft sets. The advantage of using these codes is that they have the ability to transmit m-distinct messages to m-set of receivers ...
Kandasamy, W. B. Vasantha +9 more
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Maximum Intersection of Linear Codes and Codes Equivalent to Linear
Journal of Applied and Industrial Mathematics, 2019 Summary: We consider linear codes in a space over a finite field with the Hamming metric. A code is called pseudolinear if it is the image of a linear code under an isometric transformation of the space. We derive an upper bound \((q-2)M/q\) attainable for \(q\geqslant 3\) for the size of the intersection of two different pseudolinear codes of the same
Avgustinovich, Sergeĭ Vladimirovich +1 more
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Projective parameterized linear codes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper we estimate the main parameters of some evaluation codes which are known as projective parameterized codes. We find the length of these codes and we give a formula for the dimension in terms of the Hilbert function associated to two ideals,
González Sarabia Manuel +2 more
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Linear codes resulting from finite group actions [PDF]
Transactions on Combinatorics, 2022 In this article, we use group action theory to define some important ternary linear codes. Some of these codes are self-orthogonal having a minimum distance achieving the lower bound in the previous records. Then, we define two new codes sharing the same
Driss Harzalla
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Моделирование и анализ информационных систем, 2022 Line codes are widely used to protect against errors in data transmission and storage systems, to ensure the stability of various cryptographic algorithms and protocols, to protect hidden information from errors in a stegocontainer. One of the classes of
Yury V. Kosolapov +2 more
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Graph-Based Codes and Iterative Decoding [PDF]
, 2003 The field of error correcting codes was revolutionized by the introduction of turbo codes in 1993. These codes demonstrated dramatic performance improvements over any previously known codes, with significantly lower complexity.
Khandekar, Aamod Dinkar
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Design of Non-Adaptive Querying Policies Based on Error Control Coding
IEEE Access, 2020 This paper designs non-adaptive querying policies (NQPs) for the noisy 20 questions game based on error-correction codes. The querying accuracy of a specific NQP is upper bounded by a function of the minimum distance among its codewords. As a result, the
Shuai Wang +3 more
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