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On the distribution of Low Hamming Weight products [PDF]

open access: yesJournal of Inequalities and Applications, 2020
Jeffrey Hoffstein et al. (Discrete Appl. Math. 130:37–49, 2003) introduced the Low Hamming Weight products (LHWP) X = x 1 x 2 x 3 $X=x_{1}x_{2}x_{3}$ as random exponent of elements in a group or a ring to improve the operational efficiency, where each x ...
Jianghua Li, Qiao Li
doaj   +2 more sources

Lee Weight and Generalized Lee Weight for Codes Over ‎$‎‎Z_{2^n}$ [PDF]

open access: yesMathematics Interdisciplinary Research, 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 $x‎, ‎y \in ‎\mathbb{Z}_m$‎.
Farzaneh Farhang Baftani
doaj   +1 more source

Broadcast Retransmission Algorithm Based on Hamming Weight Network Coding [PDF]

open access: yesJisuanji gongcheng, 2016
The channel of wireless network is easily affected by the environment.The high packet loss rate is caused by the moving receiving node.In order to solve this problem,this paper proposes a retransmission algorithm combining Hamming weight with broadcast ...
XU Guangxian,XU Shanqiang,XU Chunyan,JIN Yubo,WANG Jingfu
doaj   +1 more source

Algebraic Side Channel Attack Against EPCBC Based on Hamming Weight [PDF]

open access: yesJisuanji gongcheng, 2017
In order to assess the security of EPCBC cipher,this paper proposes an algebraic side channel attack method based on Hamming weight,and studies factors which affect the attack efficiency.The algebraic equations of the algorithm are constructed.The power ...
LING Hang,WU Zhen,DU Zhibo,WANG Min,RAO Jintao
doaj   +1 more source

Block Cipher Identification Scheme Based on Hamming Weight Distribution

open access: yesIEEE Access, 2023
In order to solve the problem of worse recognition performance under the multi-classification scenarios of existing cryptosystem identification, this paper proposes a block cryptosystem recognition scheme based on Hamming weight distribution.
Lun Zhao   +3 more
doaj   +1 more source

Binary Fuzzy Codes and Some Properties of Hamming Distance of Fuzzy Codes

open access: yesFuzzy Information and Engineering, 2023
In this paper, we discussed binary fuzzy codes over a vector space F2n by relating classical codes with the probability of a binary symmetric channel (BSC) for receiving a sent codeword correctly. We used the weight of error patterns between a received
Mezgebu Manmekto Gereme   +2 more
doaj   +1 more source

Using Inclusion / Exclusion to find Bent and Balanced Monomial Rotation Symmetric Functions

open access: yesJournal of Mathematical Cryptology, 2021
There are many cryptographic applications of Boolean functions. Recently, research has been done on monomial rotation symmetric (MRS) functions which have useful cryptographic properties.
Reid Elizabeth M.
doaj   +1 more source

A note on full weight spectrum codes [PDF]

open access: yesTransactions on Combinatorics, 2019
A linear $ [n,k]_q $ code $ C $ is said to be a full weight spectrum (FWS) code if there exist codewords of each weight less than or equal to $ n $. In this brief communication we determine necessary and sufficient conditions for the existence of linear $
Tim Alderson
doaj   +1 more source

On the generalized Hamming weights of certain Reed–Muller-type codes

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
There is a nice combinatorial formula of P. Beelen and M. Datta for the r-th generalized Hamming weight of an a ne cartesian code. Using this combinatorial formula we give an easy to evaluate formula to compute the r-th generalized Hamming weight for a ...
González-Sarabia Manuel   +2 more
doaj   +1 more source

Boundary-Aware Hashing for Hamming Space Retrieval

open access: yesApplied Sciences, 2022
Hamming space retrieval is a hot area of research in deep hashing because it is effective for large-scale image retrieval. Existing hashing algorithms have not fully used the absolute boundary to discriminate the data inside and outside the Hamming ball,
Wenjin Hu   +4 more
doaj   +1 more source

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