[HTML][HTML] On the nonexistence of certain orthogonal arrays of strength four
R Kiss, GP Nagy�- Прикладная дискретная математика, 2021 - cyberleninka.ru
ON THE NONEXISTENCE OF CERTAIN ORTHOGONAL ARRAYS OF STRENGTH FOUR –
тема научной статьи по математике читайте бесплатно текст научно-исследовательской�…
тема научной статьи по математике читайте бесплатно текст научно-исследовательской�…
[PDF][PDF] On unbalanced Boolean functions attaining the bound 2 n/3− 1 on the correlation immunity
DS Krotov, VK Vorob'ev�- arXiv preprint arXiv:1812.02166, 2018 - plouffe.fr
It is known that the degree of correlation immunity of a nonconstant unbalanced Boolean
function in n variables cannot exceed 2n/3− 1; moreover, it is 2n/3− 1 if and only if the�…
function in n variables cannot exceed 2n/3− 1; moreover, it is 2n/3− 1 if and only if the�…
[HTML][HTML] Simplicity conditions for binary orthogonal arrays
It is known that correlation-immune (CI) Boolean functions used in the framework of side
channel attacks need to have low Hamming weights. The supports of CI functions are�…
channel attacks need to have low Hamming weights. The supports of CI functions are�…
On unbalanced Boolean functions with best correlation immunity
DS Krotov, KV Vorob'ev�- arXiv preprint arXiv:1812.02166, 2018 - arxiv.org
It is known that the order of correlation immunity of a nonconstant unbalanced Boolean
function in $ n $ variables cannot exceed $2 n/3-1$; moreover, it is $2 n/3-1$ if and only if�…
function in $ n $ variables cannot exceed $2 n/3-1$; moreover, it is $2 n/3-1$ if and only if�…
Nonexistence of (9, 112, 4) and (10, 224, 5) binary orthogonal arrays
T Marinova, M Stoyanova�- Electronic Notes in Discrete Mathematics, 2017 - Elsevier
We prove the nonexistence of binary orthogonal arrays (BOAs) of parameters (length,
cardinality, strength)=(9, 7.2 4= 112, 4) and (10, 7.2 5= 224, 5), resolving two cases where�…
cardinality, strength)=(9, 7.2 4= 112, 4) and (10, 7.2 5= 224, 5), resolving two cases where�…
Further results on the existence of nested orthogonal arrays
K Wang, J Yin�- Designs, codes and cryptography, 2013 - Springer
Nested orthogonal arrays provide an option for designing an experimental setup consisting
of two experiments, the expensive one of higher accuracy being nested in a larger and�…
of two experiments, the expensive one of higher accuracy being nested in a larger and�…
Orthogonal arrays, resilient functions, error-correcting codes, and linear programming bounds
J Bierbrauer, K Gopalakrishnan, DR Stinson�- SIAM Journal on Discrete�…, 1996 - SIAM
Orthogonal arrays (OAs) are basic combinatorial structures, which appear under various
disguises in cryptology and the theory of algorithms. Among their applications are universal�…
disguises in cryptology and the theory of algorithms. Among their applications are universal�…
[PDF][PDF] Nonexistence of certain binary orthogonal arrays
P Boyvalenkov, H Kulina…�- Proc. 7th Int. Workshop on�…, 2013 - moi.math.bas.bg
Nonexistence of certain binary orthogonal arrays Page 1 Seventh International Workshop on
Optimal Codes and Related Topics September 6-12, 2013, Albena, Bulgaria pp. 65-70�…
Optimal Codes and Related Topics September 6-12, 2013, Albena, Bulgaria pp. 65-70�…
On correlation-immune functions
P Camion, C Carlet, P Charpin, N Sendrier�- Advances in Cryptology�…, 1992 - Springer
We establish the link between correlation-immune functions and orthogonal arrays. We give
a recursive definition of any correlation-immune function of maximal degree. We describe�…
a recursive definition of any correlation-immune function of maximal degree. We describe�…
Equitable [[2, 10],[6, 6]]-partitions of the 12-cube
DS Krotov�- Cryptography and Communications, 2024 - Springer
We describe the computer-aided classification of equitable partitions of the 12-cube with
quotient matrix [[2, 10],[6, 6]], or, equivalently, simple orthogonal arrays OA (1536, 12, 2, 7)�…
quotient matrix [[2, 10],[6, 6]], or, equivalently, simple orthogonal arrays OA (1536, 12, 2, 7)�…