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» On permutations with bounded drop size
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IACR
2011
149views more  IACR 2011»
12 years 4 months ago
Improved zero-sum distinguisher for full round Keccak-f permutation
Keccak is one of the five hash functions selected for the final round of the SHA-3 competition and its inner primitive is a permutation called Keccakf. In this paper, we find t...
Ming Duan, Xuejia Lai
IPL
2011
94views more  IPL 2011»
12 years 8 months ago
Lower bounds for context-free grammars
Ellul, Krawetz, Shallit and Wang prove an exponential lower bound on the size of any context-free grammar generating the language of all permutations over some alphabet. We genera...
Yuval Filmus
DLT
2003
13 years 5 months ago
On Deterministic Finite Automata and Syntactic Monoid Size, Continued
We continue our investigation on the relationship between regular languages and syntactic monoid size. In this paper we confirm the conjecture on two generator transformation semi...
Markus Holzer, Barbara König
JCT
2010
65views more  JCT 2010»
13 years 3 months ago
Multiple cross-intersecting families of signed sets
A k-signed r-set on [n] = {1, ..., n} is an ordered pair (A, f), where A is an rsubset of [n] and f is a function from A to [k]. Families A1, ..., Ap are said to be cross-intersec...
Peter Borg, Imre Leader
TIT
2010
170views Education» more  TIT 2010»
12 years 11 months ago
Correcting charge-constrained errors in the rank-modulation scheme
We investigate error-correcting codes for a the rank-modulation scheme with an application to flash memory devices. In this scheme, a set of n cells stores information in the permu...
Anxiao Jiang, Moshe Schwartz, Jehoshua Bruck