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- In cryptanalysis, the piling-up lemma is a principle used in linear cryptanalysis to construct linear approximations to the action of block ciphers. It was introduced by Mitsuru Matsui (1993) as an analytical tool for linear cryptanalysis. The lemma states that the bias (deviation of the expected value from 1/2) of a linear Boolean function (XOR-clause) of independent binary random variables is related to the product of the input biases: or where is the bias (towards zero) and the imbalance: . Conversely, if the lemma does not hold, then the input variables are not independent. (en)
- Le lemme d'empilement (le Piling-up Lemma en anglais) est un résultat statistique introduit par Mitsuru Matsui en 1993 dans le cadre de la cryptanalyse linéaire. Ce lemme permet de quantifier le biais statistique présent dans une approximation linéaire d'un algorithme de chiffrement symétrique par bloc. (fr)
- In crittanalisi il teorema dell'impilamento (piling-up lemma) è un principio utilizzato nella crittanalisi lineare per costruire le approssimazioni lineari dei cifrari a blocchi. È stato introdotto da Mitsuru Matsui nel 1993 come uno strumento analitico della crittanalisi lineare. (it)
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- In cryptanalysis, the piling-up lemma is a principle used in linear cryptanalysis to construct linear approximations to the action of block ciphers. It was introduced by Mitsuru Matsui (1993) as an analytical tool for linear cryptanalysis. The lemma states that the bias (deviation of the expected value from 1/2) of a linear Boolean function (XOR-clause) of independent binary random variables is related to the product of the input biases: or where is the bias (towards zero) and the imbalance: . Conversely, if the lemma does not hold, then the input variables are not independent. (en)
- Le lemme d'empilement (le Piling-up Lemma en anglais) est un résultat statistique introduit par Mitsuru Matsui en 1993 dans le cadre de la cryptanalyse linéaire. Ce lemme permet de quantifier le biais statistique présent dans une approximation linéaire d'un algorithme de chiffrement symétrique par bloc. (fr)
- In crittanalisi il teorema dell'impilamento (piling-up lemma) è un principio utilizzato nella crittanalisi lineare per costruire le approssimazioni lineari dei cifrari a blocchi. È stato introdotto da Mitsuru Matsui nel 1993 come uno strumento analitico della crittanalisi lineare. (it)
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- Lemme d'empilement (fr)
- Teorema dell'impilamento (it)
- Piling-up lemma (en)
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