Building databases of mathematical objects in Sagemath (Python)
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Abstract
There is an enormous amount of information on constructing various sorts of ``interesting'', in one or another way, mathematical objects, e.g. 
block designs, linear and nonlinear codes, Hadamard matrices, elliptic curves, etc. There is considerable interest in having this information available in computerready form. However, usually the only available form is a paper describing the construction, while no computer code (and often no detailed description of a possible implementation) is provided. This provides interesting algorithmic and software engineering challenges in creating verifiable implementations; properly structured and documented code, supplemented by unit tests, has to be provided, preferably in functional programming style (although performance is important too). 

Sagemath project aims in part to remedy this, by implementing such constructions, see e.g. Hadamard matrices in Sagemath: http://doc.sagemath.org/html/en/reference/combinat/sage/combinat/matrices/hadamard_matrix.html and http://arxiv.org/abs/1601.00181. 

The project will contribute to such implementations. 
There might be a possibility for participation in Google Summer of Code (GSoC) with Sagemath as a GSoC organisation, and being partially funded by the EU project ``Open Digital Research Environment Toolkit for the Advancement of Mathematics'' 
Prerequisites: Interest in open source software, some knowledge of Python, some maths background.