We show that no orthogonal arrays OA(16A, 11,2,4) exist with A = 6 and 7. This solves an open problem of the NSUCRYPTO Olympiad 2018. Our result allows to determine the minimum weights of certain higher order correlation-immune Boolean functions.
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- Title On the nonexistence of certain orthogonal arrays of strength four
- Headline On the nonexistence of certain orthogonal arrays of strength four
- Publesher
Tomsk State University
- Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 52
- Date:
- DOI 10.17223/20710410/52/3
Keywords
orthogonal array, NSUCRYPTOAuthors
References
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On the nonexistence of certain orthogonal arrays of strength four | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2021. № 52. DOI: 10.17223/20710410/52/3
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