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PQCRYPTO
2010

Growth of the Ideal Generated by a Quadratic Boolean Function

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Growth of the Ideal Generated by a Quadratic Boolean Function
We give exact formulas for the growth of the ideal Aλ for λ a quadratic element of the algebra of Boolean functions over the Galois field GF(2). That is, we calculate dim Akλ where Ak is the subspace of elements of degree less than or equal to k. These results clarify some of the assertions made in the article of Yang and Chen [YC] concerning the efficiency of the XL algorithm in cryptography.
Jintai Ding, Timothy J. Hodges, Victoria Kruglov
Added 14 Aug 2010
Updated 14 Aug 2010
Type Conference
Year 2010
Where PQCRYPTO
Authors Jintai Ding, Timothy J. Hodges, Victoria Kruglov
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