On the general solution of the system of cocycle equations without regularity conditions Publications, to be read Enumeration of the Semilinear Isometry Classes of Linear Codes Remarks on Rhythmical Canons

Remarks on Rhythmical Canons

Grazer Mathematische Berichte 347, 73 - 90, 2005.

Abstract: We collect some remarks on rhythmical canons, which are described as pairs of inner and outer rhythms. First we explain a method for creating new canons by inserting a given canon into a given canon. Then we analyze a backtracking algorithm which uses as an input the inner rhythm of a canon and allows to find all outer rhythms so that the resulting canon is a rhythmic tiling canon. Based on this algorithm we provide a complete list of all RCMC-canons of length 72 and 108.

harald.fripertinger "at" uni-graz.at, October 3, 2024

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