Piling Up, or Floating Away

Piling Up, or Floating Away

Piling-up Lemma for Markov Chains

Piling Up Pillar[5]arenes To Self-Assemble Nanotubes.

New liquid-crystalline pillar[5]arene derivatives have been prepared by grafting first-generation Percec-type poly(benzylether) dendrons onto the macrocyclic scaffold. The molecules adopt a disc-shaped structure perfectly suited for self-organization into a columnar liquid-crystalline phase. In this way, the pillar[5]arene cores are piled up, thus forming a nanotubular wire encased within a she...

Extended Linear Cryptanalysis and Extended Piling-up Lemma

In this paper, we extend the idea of piling-up lemma and linear cryptanalysis applied to symmetric-key block ciphers. We also examine this new method of Extended Linear Cryptanalysis on two-round Rijndael, which is designed to be immune to linear cryptanalysis attack. Even though our results do not show much surprise on two-round Rijndael, the effects on other block ciphers remain open questions.

Ramp Up / Down Floating Point