Result: The selfnegadual properties of generalised quadratic Boolean functions

Title:
The selfnegadual properties of generalised quadratic Boolean functions
Authors:
Danielsen, Lars, Eirik, Parker, Matthew, G.
Contributors:
The Selmer Center in Secure Communication, Department of Informatics [Bergen] (UiB), University of Bergen (UiB)-University of Bergen (UiB)
Source:
WCC 2011 - Workshop on coding and cryptography. :361-370
Publisher Information:
HAL CCSD, 2011.
Publication Year:
2011
Collection:
collection:WCC2011
collection:TDS-MACS
Subject Terms:
Generalised Boolean functions, selfnegadual functions, negabent functions, bent functions, negaHadamard transform, Walsh Hadamard transform, Fourier eigenspectra, selfdual codes, quantum codes, ACM: E.: Data, E.3: DATA ENCRYPTION, E.4: CODING AND INFORMATION THEORY, ACM: G.: Mathematics of Computing, G.2: DISCRETE MATHEMATICS, [INFO.INFO-CR]Computer Science [cs], Cryptography and Security [cs.CR], [INFO.INFO-DM]Computer Science [cs], Discrete Mathematics [cs.DM], [INFO.INFO-IT]Computer Science [cs], Information Theory [cs.IT], [MATH.MATH-IT]Mathematics [math], Information Theory [math.IT]
Subject Geographic:
Paris, France
Original Identifier:
HAL:
Document Type:
Conference conferenceObject<br />Conference papers
Language:
English
Access URL:
https://inria.hal.science/inria-00614437
https://inria.hal.science/inria-00614437/document
https://inria.hal.science/inria-00614437/file/79.pdf
Rights:
info:eu-repo/semantics/OpenAccess
Accession Number:
edshal.inria.00614437v1
Database:
HAL

Further Information

We defi ne and characterise selfnegadual generalised quadra- tic Boolean functions by establishing a link, both to the multiplicative order of symmetric binary matrices, and also to the Hermitian self-dual F4-linear codes. This facilitates a novel way to classify Hermitian self-dual F4-linear codes.