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Rely to Comment on \u27Nonexistence of Certain Perfect Binary Arrays\u27 and \u27Nonexistence of Perfect Binary Arrays\u27 [PDF]
Electronics Letters, 1993 Yang\u27s comment [C] is based on a lemma which claims to construct an s0 x s1 x s2 x ... x s, perfect binary array (PBA) from an s0s1 x s2 x ...
Jedwab, Jonathan, Davis, James A
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Nonexistence of Certain Perfect Binary Arrays [PDF]
Electronics Letters, 1993 A perfect binary array (PBA) is an r-dimensional matrix with elements ±I such that all out-of-phase periodic autocorrelation coefficients are zero. The two smallest sizes for which the existence of a PBA is undecided, 2 x 2 x 3 x 3 x 9 and 4 x 3 x 3 x 9,
Jedwab, Jonathan, Davis, James A
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Constructing new perfect binary arrays
Electronics Letters, 1988 Only a small number of different sizes are known for which there exist two-dimensional perfect binary arrays. Construction methods are given which generate new two-dimensional perfect binary arrays, four of which are larger than any previously ...
Jedwab, J., Mitchell, C.J.
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Development of an error correction method using perfect binary arrays
Eastern-European Journal of Enterprise Technologies, 2023 DOI: https://doi.org/10.15587/1729-4061.2023.285540The research focuses on an innovative error correction method that uses perfect binary arrays (PBAs), a powerful mathematical tool with unique properties that make it ideal for error correction.
Milevskyi, Stanislav +12 more
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A Nonexistence Result for Abelian Menon Difference Sets Using Perfect Binary Arrays [PDF]
Combinatorica, 1995 A Menon difference set has the parameters (4N2, 2N2-N, N2-N). In the abelian case it is equivalent to a perfect binary array, which is a multi-dimensional matrix with elements ±1 such that all out-of-phase periodic autocorrelation coefficients are zero ...
Arasu, K. T. +2 more
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Hierarchical Physical-Cyber Encryption via Metasurface-Encoded Holographic Keys. [PDF]
Adv Sci (Weinh)ABSTRACT Physical‐layer encryption based on metasurfaces has emerged as a promising alternative to conventional algorithmic cryptography by embedding security into physical processes. However, most existing metasurface‐based encryption schemes operate within single‐stage or static frameworks, where correct physical illumination directly reveals the ...
Liu Z +8 more
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Generalized binary arrays from quasi-orthogonal cocycles [PDF]
, 2020 Generalized perfect binary arrays (GPBAs) were used by Jedwab to construct perfect binary arrays. A non-trivial GPBA can exist only if its energy is 2 or a multiple of 4. This paper introduces generalized optimal binary arrays (GOBAs) with even energy
Flannery, D. L. +1 more
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Nonexistence of certain perfect arrays [PDF]
, 1994 Perfect binary arrays are equivalent to Menon difference sets in certain groups. This note proves a theorem on the Menon difference set and interprets its consequences on the nonexistence of certain perfect ...
Ma, Siu-Lun +5 more
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Voltage-Reconfigurable Magneto-Ionic Nanolayers in Dot Arrays for Probabilistic, Materials-Engineered Security Primitives. [PDF]
Adv Sci (Weinh)A magneto‐ionic security‐by‐materials‐design strategy exploits voltage‐driven N3– migration in selectively contacted FeCoN dots, creating reconfigurable sub‐15 nm ferromagnetic sublayers with deterministic and/or probabilistic (single‐domain↔vortex) states, voltage‐tunable probabilities and fully stochastic orientation/chirality.
Spasojevic I +4 more
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Qualified difference sets from unions of cyclotomic classes [PDF]
, 2009 Qualified difference sets (QDS) composed of unions of cyclotomic classes are discussed. An exhaustive computer search for such QDS and modified QDS that also possess the zero residue has been conducted for all powers n=4,6,8 and 10. Two new families were
Byard, Kevin, Broughan, Kevin A.
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