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In this short note we report on invariant subspaces in Simpira in the case of four registers. In particular, we show that the whole input space (respectively output space) can be partitioned into inva...
Cryptanalysis of Yasuda, Takagi and Sakurai's Signature Scheme Using Invariant Subspaces
post-quantum cryptography multivariate public key cryptosystem invariant subspace
2015/12/22
In PQCrypto 2013 Yasuda, Takagi and Sakurai proposed an interesting signature scheme of efficiency $O(n^2)$ with parameter $(q=6781, n=121)$ claimed to have 140-bit security level. Later on almost at ...
Restrictions to Invariant Subspaces of Composition Operators on the Hardy Space of the Disk
composition operator hardy semigroup
2015/1/19
Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, the restrictions of operators to different invariant subspaces are unitarily equivalent, such as cert...
Symmetric Invariant Subspaces of Complexifications of Linear Operators
Symmetric Invariant Subspaces Complexifications of Linear Operators
2011/2/22
Let T : X → X be a linear operator on a complex Banach space. Denote by (T ) and R(, T ) its spectrum and resolvent.
A complete locally convex space of countable dimension admitting an operator with no invariant subspaces
Cyclic operators invariant subspaces topological vector spaces
2010/12/6
We construct a complete locally convex topological vector space X of countable algebraic dimension and a continuous linear operator T : X → X such that T has no non-trivial closed invariant subspaces.