Zobrazeno 1 - 10
of 14 621
pro vyhledávání: '"Linear code"'
Autor:
Ratseev, Sergey Mihailovich
Publikováno v:
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 24, Iss 3, Pp 330-341 (2024)
There are perfect and ideal threshold secret sharing schemes, for example, Shamir’s secret sharing scheme. For the case of general secret sharing schemes with an arbitrary access structure, it is possible to construct a perfect scheme for any acce
Externí odkaz:
https://doaj.org/article/633e59bae65e4bf09915a3cd3e154517
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 22927-22940 (2024)
Reversible codes have a range of wide applications in cryptography, data storage, and communication systems. In this paper, we investigated reversible codes under the Rosenbloom-Tsfasman metric (RT-metric). First, some properties of reversible codes
Externí odkaz:
https://doaj.org/article/35503097e0964927907359c5f0a05422
Autor:
Aleksandr A. Pavlov, Aleksey N. Tsarkov, Yuriy A. Romanenko, Igor I. Korneev, Alexander Yu. Romanenko, Maxim I. Makeev, Fedor A. Pavlov
Publikováno v:
Надежность и качество сложных систем, Iss 1 (2024)
Background. Development of a methodological apparatus for constructing means to ensure the required level of probability of failure-free operation and survivability of self-healing specialized computers (SEVMs). During the research, an analysis of op
Externí odkaz:
https://doaj.org/article/b7526ff1b6034f14bcf229e39d4aa50a
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30875-30881 (2023)
Hermitian linear complementary dual (LCD) codes are a class of linear codes that intersect with their Hermitian dual trivially. Each Hermitian LCD code can give an entanglement-assisted quantum error-correcting code (EAQECC) with maximal entanglement
Externí odkaz:
https://doaj.org/article/a628ee8c8fba40b4b9e4f4519e1c4d78
Publikováno v:
Axioms, Vol 13, Iss 8, p 495 (2024)
In this paper, three discrete transforms related to vector spaces over finite fields are studied. For our purposes, and according to the properties of the finite fields, the most suitable transforms are as follows: for binary fields, this is the Wals
Externí odkaz:
https://doaj.org/article/97dfb821bbe549aebfc1766eadedb620
Autor:
Marwa Almstufa, Nada Yahya
Publikováno v:
مجلة التربية والعلم, Vol 32, Iss 3, Pp 106-122 (2023)
The main objective of this research is to present the relationship between the subject of coding theory and three-dimensional projection space in the eighth field. We found the points, lines, and planes of the Galois field of order 8 using algebraic
Externí odkaz:
https://doaj.org/article/6470b1b52a45426c98aa96964b25118c
Publikováno v:
Entropy, Vol 26, Iss 6, p 455 (2024)
Linear codes are the most important family of codes in cryptography and coding theory. Some codes only have a few weights and are widely used in many areas, such as authentication codes, secret sharing schemes and strongly regular graphs. By setting
Externí odkaz:
https://doaj.org/article/45b3825b16514ad7bcb2cb2d8fa90cf5
Publikováno v:
Entropy, Vol 26, Iss 5, p 373 (2024)
Linear complementary dual (LCD) codes, which are a class of linear codes introduced by Massey, have been extensively studied in the literature recently. It has been shown that LCD codes play a role in measures to counter passive and active side-chann
Externí odkaz:
https://doaj.org/article/ae3f6e44afe54dc083ff7f111c75010e
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 15317-15331 (2023)
Let $ p\equiv 1\pmod 4 $ be a prime, $ m $ a positive integer, $ \frac{\phi(p^m)}2 $ the multiplicative order of $ 2 $ modulo $ p^m $, and let $ q = 2^{ \frac{\phi(p^m)}2} $, where $ \phi(\cdot) $ is the Euler's function. In this paper, we construct
Externí odkaz:
https://doaj.org/article/c1ec2bd3fb5342c89e8b65930b9d694b
Autor:
Farzaneh Farhang Baftani
Publikováno v:
Mathematics Interdisciplinary Research, Vol 8, Iss 1, Pp 27-33 (2023)
Let $\mathbb{Z}_m$ be the ring of integers modulo $m$ in which $m=2^n$ for arbitrary $n$. In this paper, we will obtain a relationship between $wt_L(x), wt_L(y)$ and $wt_L(x+y)$ for any $x, y \in \mathb
Externí odkaz:
https://doaj.org/article/45a1901458744c319bc3df247c4a0ae2