Two new infinite series of imprimitive 5-class association schemes are constructed. The first series of schemes arises from forming, in a special manner, two edge-disjoint copies of the coset graph of a binary Kasami code (double error-correcting BCH code). The second series of schemes is formally dual to the first. The construction applies vector space duality to obtain a fission scheme of a s...

The goal of a 2D assembly puzzle is to arrange a given set of polygonal pieces in a way that they do not overlap and form a target polygonal silhouette. For example, there are over 5,000 Tangram assembly puzzles [4], and many more similar 2D assembly puzzles; see, e.g., [2]. A recent trend in the puzzle world is a relatively new type of 2D assembly puzzle which we call symmetric assembly puzzle...

We use elementary facts about quadratic forms in characteristic 2 to evaluate the sign of some Walsh transforms in terms of a Jacobi symbol. These results are applied to the Walsh transforms of the Gold and KasamiWelch functions. We prove that the Gold functions yield bent functions when restricted to certain hyperplanes. We also use the sign information to determine the dual bent function.

In this correspondence, we present a construction, in a closed form, for an optimal family of 2m binary sequences of period 2 1 with respect to Welch’s bound, whenever there exists a balanced binary sequence of period 2m 1 with ideal autocorrelation property using the trace function. This construction enables us to reinterpret a small set of Kasami and No sequences as a family constructed from ...

Microscopy Toshio Ando,*,†,‡,§ Takayuki Uchihashi,†,‡,§ and Simon Scheuring †Department of Physics, and ‡Bio-AFM Frontier Research Center, Kanazawa University, Kakuma-machi, Kanazawa 920-1192, Japan CREST, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi 332-0012, Japan U1006 INSERM/Aix-Marseille Universite,́ Parc Scientifique et Technologique de Luminy Bat̂iment Inserm TPR2 bloc 5, 1...

The oncolytic virotherapy treatment platform for cancer: Unique biological and biosafety points to consider Richard Vile, Dale Ando, and David Kirn Molecular Medicine Program, Mayo Clinic, Rochester, Minnesota, USA; Cell Genesys Corp., Foster City, California, USA; Department of Pharmacology, Oxford University Medical School, Oxford, UK; and Kirn Oncology Consulting, San Francisco, California, ...

A. Gozar,* B. S. Dennis, T. Siegrist, Y. Horibe, G. Blumberg, Seiki Komiya, and Yoichi Ando Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974, USA University of Illinois at Urbana-Champaign, Illinois 61801-3080, USA Rutgers University, Piscataway, New Jersey 08854, USA Central Research Institute of Electric Power Industry, Komae, Tokyo 201-8511, Japan ~Received 21 May 2003; ...

In a recent study of evolutionary artiicial neural networks (EANNs) 1], it has been argued that a partial training process after an architectural mutation plays an important role in maintaining the behavioural link between parents and their oospring and thus is beneecial to the simulated evolution. This paper investigates the issue further through a number of experiments. The experimental resul...

Caspase-2 triggers apoptosis, but how it is activated by different stimuli is unclear. In this issue, Ando et al. (2017. J. Cell Biol. https://doi.org/10.1083/jcb.201608095) delineate two pathways of caspase-2 activation and show that, in response to DNA damage, caspase-2 forms a complex with the PIDDosome and NPM1 within the nucleolus.