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In this article, we present fast computational algorithms for Jacobi sums of orders l^2 and 2l^2 with odd prime l. Cyclotomic numbers play a crucial rule in implementing these algorithms. To increase efficiency, we present explicit expressions for Jacobi sums of orders l^2 and 2l^2 in terms of the minimum number of cyclotomic numbers of orders l^2...
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Block-based programming (BBP) environments have become increasingly commonplace computer science education. Despite a rapidly expanding ecosystem of BBP environments, text-based languages remain the dominant programming paradigm, motivating the transition from BBP to text-based programming (TBP). Support students in transitioning from BBP to TBP is an important and open design question. This work identifies 101 unique BBP environments, analyzes the 46 of them and identifies different design approaches used to support the transition to TBP. The contribution of this work is to provide a snapshot of the current state of BBP environments and how they support learners in transitioning to TBP.
