Slides - Inria

Plotkin arraysCAIAF2011D. E. SimosPrivate-KeyCryptosystemsMotivationCryptographicAlgorithmsEncryptionSchemesCryptanalysisConclusionGeneralization of Hadamard matricesConsider the entries of an H n replaced with “symbolic” variablespreserving the orthogonality propertyPlotkin array of Order 8 and Type (1, 1, 1, 1, 1, 1, 1, 1)⎛⎞A B C D E F G H−B A D −C F −E −H G−C −D A B G H −E −FP =−D C −B A H −G F −E−E −F −G −H A B C D⎜ −F E −H G −B A −D C⎟⎝ −G H E −F −C D A −B ⎠−H −G F E −D −C B AP P T = fI 8 whereas f = A 2 + B 2 + . . . + H 27 / 26